Atkin-Lehner |
2- 3- 7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578bh |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
4068121806 = 2 · 310 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401,-237] |
[a1,a2,a3,a4,a6] |
j |
9759185353/5580414 |
j-invariant |
L |
4.624585820503 |
L(r)(E,1)/r! |
Ω |
1.1561464683054 |
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 |
29526c1 |
Quadratic twists by: -3 |