Atkin-Lehner |
2- 3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
31284b |
Isogeny class |
Conductor |
31284 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
631580412672 = 28 · 33 · 114 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99735,-12123202] |
[a1,a2,a3,a4,a6] |
j |
15873136782246000/91374481 |
j-invariant |
L |
1.0746023797782 |
L(r)(E,1)/r! |
Ω |
0.26865059494425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125136g2 31284a2 |
Quadratic twists by: -4 -3 |