Atkin-Lehner |
2+ 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570a |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-28949250 = -1 · 2 · 3 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-238,1342] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1:1] |
Generators of the group modulo torsion |
j |
-1500730351849/28949250 |
j-invariant |
L |
2.4479584531284 |
L(r)(E,1)/r! |
Ω |
2.0993018826491 |
Real period |
R |
0.3886940500492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76560bv1 28710bj1 47850cr1 105270bj1 |
Quadratic twists by: -4 -3 5 -11 |