Atkin-Lehner |
5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32725i |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-55121171875 = -1 · 57 · 73 · 112 · 17 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 11- 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-133,-11356] |
[a1,a2,a3,a4,a6] |
Generators |
[98:962:1] |
Generators of the group modulo torsion |
j |
-16777216/3527755 |
j-invariant |
L |
2.6548837199588 |
L(r)(E,1)/r! |
Ω |
0.49878952189477 |
Real period |
R |
0.22177722294179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6545e1 |
Quadratic twists by: 5 |