Atkin-Lehner |
2+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31262a |
Isogeny class |
Conductor |
31262 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-804858986777692 = -1 · 22 · 711 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6737,-1345455] |
[a1,a2,a3,a4,a6] |
j |
287365339799/6841188508 |
j-invariant |
L |
3.8981278600022 |
L(r)(E,1)/r! |
Ω |
0.24363299125041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4466b1 |
Quadratic twists by: -7 |