Atkin-Lehner |
2+ 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614b |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
23610588300288 = 210 · 37 · 113 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3970023,3042998325] |
[a1,a2,a3,a4,a6] |
j |
5199060797040158832419/17738984448 |
j-invariant |
L |
3.5956445919926 |
L(r)(E,1)/r! |
Ω |
0.44945557480373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64614k1 |
Quadratic twists by: -11 |