Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7524g |
Isogeny class |
Conductor |
7524 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-741083904 = -1 · 28 · 36 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11- -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,1316] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:38:1] |
Generators of the group modulo torsion |
j |
-65536/3971 |
j-invariant |
L |
3.9603556036719 |
L(r)(E,1)/r! |
Ω |
1.323804714835 |
Real period |
R |
0.49860773260723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30096v1 120384o1 836a1 82764h1 |
Quadratic twists by: -4 8 -3 -11 |