Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312cn |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-8.4479071266962E+22 |
Discriminant |
Eigenvalues |
2- -3 -2 7- -5 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4792396,14555399824] |
[a1,a2,a3,a4,a6] |
j |
-164384733177/1140850688 |
j-invariant |
L |
0.18561174608911 |
L(r)(E,1)/r! |
Ω |
0.092805871973965 |
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 |
53312be1 13328z1 53312bl1 |
Quadratic twists by: -4 8 -7 |