Atkin-Lehner |
2- 3- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502bi |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-29448368368054272 = -1 · 212 · 311 · 72 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,32296,7940315] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:2049:1] |
Generators of the group modulo torsion |
j |
5110401239713223/40395567034368 |
j-invariant |
L |
11.010802513002 |
L(r)(E,1)/r! |
Ω |
0.27190502672604 |
Real period |
R |
1.6872929624186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15834g1 |
Quadratic twists by: -3 |