Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504bt |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
15745024 = 214 · 312 |
Discriminant |
Eigenvalues |
2- -1 1 3 1 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-785,-8207] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:1:1] |
Generators of the group modulo torsion |
j |
3402064 |
j-invariant |
L |
5.4483408432442 |
L(r)(E,1)/r! |
Ω |
0.90186951599023 |
Real period |
R |
1.510290775593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504m1 15376h1 61504be1 |
Quadratic twists by: -4 8 -31 |