Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360h |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-883499119360 = -1 · 28 · 5 · 11 · 137 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11+ 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,45317] |
[a1,a2,a3,a4,a6] |
j |
-1024/715 |
j-invariant |
L |
5.7404935808301 |
L(r)(E,1)/r! |
Ω |
0.71756169850779 |
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 |
5720f1 |
Quadratic twists by: 13 |