Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160j |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
405832960 = 28 · 5 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 4 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-785,-8677] |
[a1,a2,a3,a4,a6] |
j |
209240544256/1585285 |
j-invariant |
L |
2.7067969467808 |
L(r)(E,1)/r! |
Ω |
0.9022656489268 |
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 |
15080k1 120640bv1 |
Quadratic twists by: -4 8 |