Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640bk |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
195526656 |
Modular degree for the optimal curve |
Δ |
4.5109579697701E+28 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33774139000,-2389013059755648] |
[a1,a2,a3,a4,a6] |
j |
392361552237381907701748/4154116321200125 |
j-invariant |
L |
4.2764655264002 |
L(r)(E,1)/r! |
Ω |
0.011136629177524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47320bc1 94640g1 |
Quadratic twists by: -4 13 |