Atkin-Lehner |
2+ 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430i |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
4879284480 = 28 · 38 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-492,-2736] |
[a1,a2,a3,a4,a6] |
j |
13212881163721/4879284480 |
j-invariant |
L |
1.0449360171209 |
L(r)(E,1)/r! |
Ω |
1.0449360171209 |
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 |
52290cc1 87150cn1 122010s1 |
Quadratic twists by: -3 5 -7 |