Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390cc |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
1445253799500 = 22 · 313 · 53 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9220,-339655] |
[a1,a2,a3,a4,a6] |
j |
1768981696093969/29494975500 |
j-invariant |
L |
2.9262199010668 |
L(r)(E,1)/r! |
Ω |
0.48770331685226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390ck1 |
Quadratic twists by: -7 |