Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350dm |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-250787007900000000 = -1 · 28 · 313 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,67270,-23156103] |
[a1,a2,a3,a4,a6] |
Generators |
[473:-10929:1] |
Generators of the group modulo torsion |
j |
2955605685551/22016966400 |
j-invariant |
L |
9.9839761278506 |
L(r)(E,1)/r! |
Ω |
0.15495963978709 |
Real period |
R |
1.0067113424528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450g1 12870u1 |
Quadratic twists by: -3 5 |