Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762r |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
150238116 = 22 · 32 · 73 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15965,-777724] |
[a1,a2,a3,a4,a6] |
j |
1311889499494111/438012 |
j-invariant |
L |
2.5483662325505 |
L(r)(E,1)/r! |
Ω |
0.42472770542508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54096bl1 20286ce1 6762g1 |
Quadratic twists by: -4 -3 -7 |