Atkin-Lehner |
2- 5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56950u |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
308 |
Product of Tamagawa factors cp |
deg |
606144 |
Modular degree for the optimal curve |
Δ |
-471554637592832000 = -1 · 211 · 53 · 177 · 672 |
Discriminant |
Eigenvalues |
2- -1 5- 2 0 3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,173132,18036981] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:2917:1] |
Generators of the group modulo torsion |
j |
4591404761426454763/3772437100742656 |
j-invariant |
L |
8.7074458218009 |
L(r)(E,1)/r! |
Ω |
0.19104990508643 |
Real period |
R |
0.14797666599143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56950f1 |
Quadratic twists by: 5 |