Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096bg |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
2496282624 = 214 · 36 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-531,4050] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:64:1] [-9:90:1] |
Generators of the group modulo torsion |
j |
5545233/836 |
j-invariant |
L |
7.2259534279981 |
L(r)(E,1)/r! |
Ω |
1.387026564123 |
Real period |
R |
2.6048359904944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3762f1 120384cz1 3344d1 |
Quadratic twists by: -4 8 -3 |