Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
2870b |
Isogeny class |
Conductor |
2870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
200900 = 22 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39,86] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:13:1] [-2:13:1] |
Generators of the group modulo torsion |
j |
6321363049/200900 |
j-invariant |
L |
2.2150473655218 |
L(r)(E,1)/r! |
Ω |
3.1575227411392 |
Real period |
R |
0.35075715158924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22960m1 91840q1 25830be1 14350u1 |
Quadratic twists by: -4 8 -3 5 |