Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976bm |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-927680992116736 = -1 · 228 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ -2 -3 -2 11- 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29035777,-60230725281] |
[a1,a2,a3,a4,a6] |
j |
-361585288790756017/123904 |
j-invariant |
L |
0.2601510322211 |
L(r)(E,1)/r! |
Ω |
0.03251892607027 |
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 |
118976cg1 3718l1 118976p1 |
Quadratic twists by: -4 8 13 |