Atkin-Lehner |
3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925be |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
100250201093625 = 39 · 53 · 116 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20547,-1021064] |
[a1,a2,a3,a4,a6] |
j |
10527938102213/1100139381 |
j-invariant |
L |
3.2116251587332 |
L(r)(E,1)/r! |
Ω |
0.40145314470716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975k1 56925bb1 |
Quadratic twists by: -3 5 |