Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bf |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
44907896217600 = 213 · 32 · 52 · 13 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-499656,136108656] |
[a1,a2,a3,a4,a6] |
j |
3368045532228587209/10963841850 |
j-invariant |
L |
2.2341020154878 |
L(r)(E,1)/r! |
Ω |
0.55852549817217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430p3 |
Quadratic twists by: -4 |