Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720cm |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
5.3935470068676E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15549856,20783641844] |
[a1,a2,a3,a4,a6] |
Generators |
[-1078:190512:1] |
Generators of the group modulo torsion |
j |
101517965795304671887009/13167839372235345000 |
j-invariant |
L |
5.7598530215374 |
L(r)(E,1)/r! |
Ω |
0.10793520004576 |
Real period |
R |
1.1117498081965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6090s3 |
Quadratic twists by: -4 |