Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080bj |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-209718660300800000 = -1 · 225 · 55 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33439,21918239] |
[a1,a2,a3,a4,a6] |
j |
15773593568039/800013200000 |
j-invariant |
L |
2.8834983974305 |
L(r)(E,1)/r! |
Ω |
0.24029153312245 |
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 |
38080e1 9520o1 |
Quadratic twists by: -4 8 |