Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7524c |
Isogeny class |
Conductor |
7524 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-6812139312 = -1 · 24 · 33 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-240,4221] |
[a1,a2,a3,a4,a6] |
Generators |
[27:132:1] |
Generators of the group modulo torsion |
j |
-3538944000/15768841 |
j-invariant |
L |
4.2771846166115 |
L(r)(E,1)/r! |
Ω |
1.1577543440335 |
Real period |
R |
1.8471900531637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30096m1 120384c1 7524a1 82764c1 |
Quadratic twists by: -4 8 -3 -11 |