Atkin-Lehner |
3+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104181g |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80403840 |
Modular degree for the optimal curve |
Δ |
4.2754634564049E+23 |
Discriminant |
Eigenvalues |
2 3+ 3 7+ 11- -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1580559394,-24185469153297] |
[a1,a2,a3,a4,a6] |
Generators |
[-9842153906795852001475611932688188427920503489795857669872476391931522491164870252672349165869778272789264946371009438115422465724335925739115979031241254668071930084477171000231936553838:666063837529382476237144125851177181335853097625008185565088290561017731761297432298085434709713373998231907949417503738682275872039043460535335341391809540944101534591249249566891025525:429099639987683883630357415528794348256328538210327267984325918575147423844941515812929624144604060221174713600140587301448546444924181858542514412643906384773669072492847987699346728] |
Generators of the group modulo torsion |
j |
16835628030740456599552/16483762448181 |
j-invariant |
L |
13.776963840251 |
L(r)(E,1)/r! |
Ω |
0.023944009441771 |
Real period |
R |
287.69124640039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104181j1 |
Quadratic twists by: -11 |