Atkin-Lehner |
3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8379q |
Isogeny class |
Conductor |
8379 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
649152 |
Modular degree for the optimal curve |
Δ |
-6.7556368720172E+21 |
Discriminant |
Eigenvalues |
-2 3- 1 7- -4 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3752763,2794327618] |
[a1,a2,a3,a4,a6] |
j |
28383712415744/32806384371 |
j-invariant |
L |
0.53283922754526 |
L(r)(E,1)/r! |
Ω |
0.08880653792421 |
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 |
2793e1 8379d1 |
Quadratic twists by: -3 -7 |