Atkin-Lehner |
2+ 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312g |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0118523132751E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7001249,5238698913] |
[a1,a2,a3,a4,a6] |
j |
579122468065337627812/154396410106681587 |
j-invariant |
L |
0.96240288656008 |
L(r)(E,1)/r! |
Ω |
0.12030042247808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312co4 14664b3 |
Quadratic twists by: -4 8 |