Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
69580r |
Isogeny class |
Conductor |
69580 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-458416975520000 = -1 · 28 · 54 · 79 · 71 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7660,-1059400] |
[a1,a2,a3,a4,a6] |
Generators |
[670:17150:1] |
Generators of the group modulo torsion |
j |
-4812208/44375 |
j-invariant |
L |
6.1790234263457 |
L(r)(E,1)/r! |
Ω |
0.22305608034383 |
Real period |
R |
1.15423578264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69580h1 |
Quadratic twists by: -7 |