Atkin-Lehner |
7- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7511d |
Isogeny class |
Conductor |
7511 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-2663182781 = -1 · 72 · 29 · 374 |
Discriminant |
Eigenvalues |
1 1 1 7- 1 3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,332,-821] |
[a1,a2,a3,a4,a6] |
Generators |
[1645:8698:125] |
Generators of the group modulo torsion |
j |
4064592619079/2663182781 |
j-invariant |
L |
6.2482775900378 |
L(r)(E,1)/r! |
Ω |
0.82108328677735 |
Real period |
R |
1.9024493893188 |
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 |
120176n1 67599d1 52577e1 |
Quadratic twists by: -4 -3 -7 |