Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330br |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.490003266753E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2870425350,57509302792500] |
[a1,a2,a3,a4,a6] |
j |
30496269316997451137719249/989901742991616000000 |
j-invariant |
L |
0.27131955170125 |
L(r)(E,1)/r! |
Ω |
0.033914943923614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110dg2 8190q2 |
Quadratic twists by: -3 -7 |