Atkin-Lehner |
2+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49610a |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
251328 |
Modular degree for the optimal curve |
Δ |
-61872547411840 = -1 · 27 · 5 · 119 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11+ 5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24929,-1563564] |
[a1,a2,a3,a4,a6] |
j |
-726572699/26240 |
j-invariant |
L |
1.5165794075 |
L(r)(E,1)/r! |
Ω |
0.18957242604733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49610p1 |
Quadratic twists by: -11 |