Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675r |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-1592952878671875 = -1 · 315 · 57 · 72 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 3 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8175,-1941219] |
[a1,a2,a3,a4,a6] |
Generators |
[6402:179595:8] |
Generators of the group modulo torsion |
j |
-5304438784/139847715 |
j-invariant |
L |
11.863091705408 |
L(r)(E,1)/r! |
Ω |
0.20600878631858 |
Real period |
R |
7.1981709599518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15225m1 9135o1 |
Quadratic twists by: -3 5 |