Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3094g |
Isogeny class |
Conductor |
3094 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
15504 |
Modular degree for the optimal curve |
Δ |
-582553567232 = -1 · 217 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3 2 7- -3 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24924,-1508705] |
[a1,a2,a3,a4,a6] |
j |
-1712224094099844753/582553567232 |
j-invariant |
L |
6.4593160973139 |
L(r)(E,1)/r! |
Ω |
0.18997988521512 |
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 |
24752s1 99008bl1 27846m1 77350h1 |
Quadratic twists by: -4 8 -3 5 |