Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
69580h |
Isogeny class |
Conductor |
69580 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-3896480000 = -1 · 28 · 54 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 1 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156,3044] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-50:1] [16:70:1] |
Generators of the group modulo torsion |
j |
-4812208/44375 |
j-invariant |
L |
11.433693427246 |
L(r)(E,1)/r! |
Ω |
1.1913243366469 |
Real period |
R |
0.79978873619531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69580r1 |
Quadratic twists by: -7 |