Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974j |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12042240 |
Modular degree for the optimal curve |
Δ |
1.9154934350717E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71885132,234549103440] |
[a1,a2,a3,a4,a6] |
Generators |
[901139448:-750697468:185193] |
Generators of the group modulo torsion |
j |
1018025332500864873583/47467712987136 |
j-invariant |
L |
2.6512296092744 |
L(r)(E,1)/r! |
Ω |
0.13930300668259 |
Real period |
R |
9.5160530716017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64974z1 |
Quadratic twists by: -7 |