Atkin-Lehner |
2+ 3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310v |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6881280 |
Modular degree for the optimal curve |
Δ |
6.8174113878835E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3128589,2093366245] |
[a1,a2,a3,a4,a6] |
Generators |
[1301:14312:1] |
Generators of the group modulo torsion |
j |
4645599902534650930129/93517302988800000 |
j-invariant |
L |
4.8355637991326 |
L(r)(E,1)/r! |
Ω |
0.19532675742932 |
Real period |
R |
2.4756279623792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999466529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770s1 |
Quadratic twists by: -3 |