Atkin-Lehner |
3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18249m |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
5419953 = 34 · 7 · 112 · 79 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45,19] |
[a1,a2,a3,a4,a6] |
j |
9759185353/5419953 |
j-invariant |
L |
4.181074631227 |
L(r)(E,1)/r! |
Ω |
2.0905373156135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54747f1 127743q1 |
Quadratic twists by: -3 -7 |