Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640i |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
3673134080 = 210 · 5 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-488,2952] |
[a1,a2,a3,a4,a6] |
j |
12551141376/3587045 |
j-invariant |
L |
2.6075585504406 |
L(r)(E,1)/r! |
Ω |
1.3037792752204 |
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 |
24640bg1 3080b1 123200a1 |
Quadratic twists by: -4 8 5 |