Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630bo |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-282746886423120 = -1 · 24 · 36 · 5 · 78 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15311,351572] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-1588:1] [-17:302:1] |
Generators of the group modulo torsion |
j |
3374325044999/2403308880 |
j-invariant |
L |
7.507446039179 |
L(r)(E,1)/r! |
Ω |
0.34815151095711 |
Real period |
R |
0.89848885266222 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890ga2 6090d2 |
Quadratic twists by: -3 -7 |