Atkin-Lehner |
2+ 3+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15834b |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
63336 = 23 · 3 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -5 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93,309] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-2:1] |
Generators of the group modulo torsion |
j |
90458382169/63336 |
j-invariant |
L |
2.4950578119216 |
L(r)(E,1)/r! |
Ω |
3.4627758647219 |
Real period |
R |
0.72053690720811 |
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 |
126672bt1 47502bj1 110838bf1 |
Quadratic twists by: -4 -3 -7 |