Atkin-Lehner |
3+ 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587a |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
150985593 = 33 · 11 · 232 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-395,3058] |
[a1,a2,a3,a4,a6] |
Generators |
[14:4:1] [16:17:1] |
Generators of the group modulo torsion |
j |
251837305875/5592059 |
j-invariant |
L |
5.797470573185 |
L(r)(E,1)/r! |
Ω |
1.8262632821363 |
Real period |
R |
1.5872493932976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70587b1 |
Quadratic twists by: -3 |