Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4640c |
Isogeny class |
Conductor |
4640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
3536405000000 = 26 · 57 · 294 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103886,12853060] |
[a1,a2,a3,a4,a6] |
j |
1937398648791307456/55256328125 |
j-invariant |
L |
1.4705366025286 |
L(r)(E,1)/r! |
Ω |
0.73526830126428 |
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 |
4640e1 9280f2 41760bg1 23200j1 |
Quadratic twists by: -4 8 -3 5 |