Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504bh |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
714240 |
Modular degree for the optimal curve |
Δ |
55895067029733376 = 216 · 318 |
Discriminant |
Eigenvalues |
2- -1 3 -5 1 -1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-278049,-55181759] |
[a1,a2,a3,a4,a6] |
Generators |
[-320:961:1] [-315:1024:1] |
Generators of the group modulo torsion |
j |
42532 |
j-invariant |
L |
8.7734723681089 |
L(r)(E,1)/r! |
Ω |
0.20820496328616 |
Real period |
R |
3.5115526825264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504b1 15376b1 61504br1 |
Quadratic twists by: -4 8 -31 |