Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10150j |
Isogeny class |
Conductor |
10150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-1330380800 = -1 · 218 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 4 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-765,8517] |
[a1,a2,a3,a4,a6] |
Generators |
[15:8:1] |
Generators of the group modulo torsion |
j |
-1978042764105/53215232 |
j-invariant |
L |
3.9214599989636 |
L(r)(E,1)/r! |
Ω |
1.5209735635039 |
Real period |
R |
0.14323647304522 |
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 |
81200by1 91350be1 10150g1 71050cd1 |
Quadratic twists by: -4 -3 5 -7 |