Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504g |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
714240 |
Modular degree for the optimal curve |
Δ |
894321072475734016 = 220 · 318 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 -3 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-278049,33476257] |
[a1,a2,a3,a4,a6] |
Generators |
[-5757:246016:27] |
Generators of the group modulo torsion |
j |
10633/4 |
j-invariant |
L |
5.232288204327 |
L(r)(E,1)/r! |
Ω |
0.25591408357168 |
Real period |
R |
1.7037906275025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504bg1 1922a1 61504p1 |
Quadratic twists by: -4 8 -31 |