Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950bi |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
4968864000000000 = 214 · 37 · 59 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52992,3260416] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:2728:1] |
Generators of the group modulo torsion |
j |
11558505581/3489792 |
j-invariant |
L |
4.5490612406045 |
L(r)(E,1)/r! |
Ω |
0.40069584309945 |
Real period |
R |
5.6764517513044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650ba1 31950ct1 |
Quadratic twists by: -3 5 |