Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330bi |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.7654622366964E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-718457805,6967238240101] |
[a1,a2,a3,a4,a6] |
j |
478202393398338853167169/32244226560000000000 |
j-invariant |
L |
0.71231156261666 |
L(r)(E,1)/r! |
Ω |
0.044519472898588 |
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 |
19110cc2 8190v2 |
Quadratic twists by: -3 -7 |