Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720v |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
665959692388914000 = 24 · 37 · 53 · 712 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-365322,-75375911] |
[a1,a2,a3,a4,a6] |
j |
462278484549842944/57095309704125 |
j-invariant |
L |
3.5237696201035 |
L(r)(E,1)/r! |
Ω |
0.19576497889465 |
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 |
55440bi1 9240bg1 |
Quadratic twists by: -4 -3 |