Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616co |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6021120 |
Modular degree for the optimal curve |
Δ |
-1370114017631107056 = -1 · 24 · 313 · 79 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 1 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73502499,242550002009] |
[a1,a2,a3,a4,a6] |
j |
-93303976999933696/2910897 |
j-invariant |
L |
2.3821727469718 |
L(r)(E,1)/r! |
Ω |
0.19851439662114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808y1 25872h1 77616cm1 |
Quadratic twists by: -4 -3 -7 |