Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936p |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
3975595008 = 210 · 3 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-804] |
[a1,a2,a3,a4,a6] |
j |
62500/33 |
j-invariant |
L |
1.1269738544934 |
L(r)(E,1)/r! |
Ω |
1.1269738544934 |
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 |
25872l1 103488cr1 38808q1 264a1 |
Quadratic twists by: -4 8 -3 -7 |