Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gr |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-5.1711063503402E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6380257,-7104802657] |
[a1,a2,a3,a4,a6] |
j |
-19007021070457/3421836288 |
j-invariant |
L |
5.6442770290907 |
L(r)(E,1)/r! |
Ω |
0.047035645775392 |
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 |
122304e1 30576bi1 122304fl1 |
Quadratic twists by: -4 8 -7 |