Atkin-Lehner |
2- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27550bg |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
6000 |
Modular degree for the optimal curve |
Δ |
-11020000 = -1 · 25 · 54 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -3 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37,-119] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
8947775/17632 |
j-invariant |
L |
11.939044814477 |
L(r)(E,1)/r! |
Ω |
1.1864170145365 |
Real period |
R |
0.67087399389337 |
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 |
27550j1 |
Quadratic twists by: 5 |