Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360g |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-21237959600 = -1 · 24 · 52 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,338,-6591] |
[a1,a2,a3,a4,a6] |
j |
55296/275 |
j-invariant |
L |
1.2183479717633 |
L(r)(E,1)/r! |
Ω |
0.60917398213061 |
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 |
440b1 |
Quadratic twists by: 13 |