Atkin-Lehner |
7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
38269h |
Isogeny class |
Conductor |
38269 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4161024 |
Modular degree for the optimal curve |
Δ |
-7.5683845952544E+22 |
Discriminant |
Eigenvalues |
1 -2 2 7- 11- -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-719395,13238113809] |
[a1,a2,a3,a4,a6] |
j |
-349974860661795097/643302076112364823 |
j-invariant |
L |
2.1031065745103 |
L(r)(E,1)/r! |
Ω |
0.087629440606085 |
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 |
5467b1 |
Quadratic twists by: -7 |