Atkin-Lehner |
2- 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850bx |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-53540156250000 = -1 · 24 · 33 · 510 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6888,412281] |
[a1,a2,a3,a4,a6] |
j |
-3700897225/5482512 |
j-invariant |
L |
2.2663159872111 |
L(r)(E,1)/r! |
Ω |
0.56657899681417 |
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 |
116550bf1 38850bs1 |
Quadratic twists by: -3 5 |