Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762bk |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-104513472 = -1 · 26 · 32 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-428,3408] |
[a1,a2,a3,a4,a6] |
Generators |
[4:40:1] |
Generators of the group modulo torsion |
j |
-25282750375/304704 |
j-invariant |
L |
6.8764039335036 |
L(r)(E,1)/r! |
Ω |
1.8922155817415 |
Real period |
R |
0.3028374074575 |
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 |
54096bf1 20286t1 6762ba1 |
Quadratic twists by: -4 -3 -7 |