Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65712o |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
299431848487857408 = 28 · 32 · 379 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2448228,-1475017236] |
[a1,a2,a3,a4,a6] |
Generators |
[-15495512455993526570250:6108620505414864734781:17268540440921875000] |
Generators of the group modulo torsion |
j |
48778000/9 |
j-invariant |
L |
8.3025186343033 |
L(r)(E,1)/r! |
Ω |
0.120695584761 |
Real period |
R |
34.394458800117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32856e2 65712n2 |
Quadratic twists by: -4 37 |