Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350bd |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3265920 |
Modular degree for the optimal curve |
Δ |
-4.14345071875E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 0 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1840588,-3242852208] |
[a1,a2,a3,a4,a6] |
Generators |
[10072:994964:1] |
Generators of the group modulo torsion |
j |
-7655774616889/46000000000 |
j-invariant |
L |
5.4530119192518 |
L(r)(E,1)/r! |
Ω |
0.057970071196742 |
Real period |
R |
2.3516496558747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270a1 56350bo1 |
Quadratic twists by: 5 -7 |