Atkin-Lehner |
3- 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
95403n |
Isogeny class |
Conductor |
95403 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-11224067547 = -1 · 3 · 78 · 11 · 59 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 11- -5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,-6142] |
[a1,a2,a3,a4,a6] |
Generators |
[254:4042:1] |
Generators of the group modulo torsion |
j |
-64000000/95403 |
j-invariant |
L |
3.6742230123845 |
L(r)(E,1)/r! |
Ω |
0.50421088955248 |
Real period |
R |
3.6435379481582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13629a1 |
Quadratic twists by: -7 |