Atkin-Lehner |
3- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30015g |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-7597546875 = -1 · 36 · 56 · 23 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 0 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,222,-3996] |
[a1,a2,a3,a4,a6] |
j |
1659797504/10421875 |
j-invariant |
L |
2.6358622694113 |
L(r)(E,1)/r! |
Ω |
0.65896556735309 |
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 |
3335b1 |
Quadratic twists by: -3 |