Atkin-Lehner |
2- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
75920i |
Isogeny class |
Conductor |
75920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7225344 |
Modular degree for the optimal curve |
Δ |
3.1944158964224E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57099856,-166090421100] |
[a1,a2,a3,a4,a6] |
Generators |
[1590105699116:347466514273606:32461759] |
Generators of the group modulo torsion |
j |
5026536155704292497837009/77988669346250000 |
j-invariant |
L |
4.0650506445326 |
L(r)(E,1)/r! |
Ω |
0.054921350148726 |
Real period |
R |
18.503963544902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490h1 |
Quadratic twists by: -4 |