Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11800c |
Isogeny class |
Conductor |
11800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-236000000 = -1 · 28 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 0 2 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,688] |
[a1,a2,a3,a4,a6] |
j |
21296/59 |
j-invariant |
L |
2.4732833690088 |
L(r)(E,1)/r! |
Ω |
1.2366416845044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23600a1 94400d1 106200be1 472e1 |
Quadratic twists by: -4 8 -3 5 |