Atkin-Lehner |
2- 3+ 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
90270t |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
488448 |
Modular degree for the optimal curve |
Δ |
500890176000000 = 212 · 33 · 56 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26117,-1209859] |
[a1,a2,a3,a4,a6] |
j |
72964939303653363/18551488000000 |
j-invariant |
L |
4.5910310265221 |
L(r)(E,1)/r! |
Ω |
0.38258592517963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90270a3 |
Quadratic twists by: -3 |