Atkin-Lehner |
2- 5- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18910h |
Isogeny class |
Conductor |
18910 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
-945500 = -1 · 22 · 53 · 31 · 61 |
Discriminant |
Eigenvalues |
2- -1 5- 5 0 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-165] |
[a1,a2,a3,a4,a6] |
Generators |
[13:33:1] |
Generators of the group modulo torsion |
j |
-13841287201/945500 |
j-invariant |
L |
7.7537325534843 |
L(r)(E,1)/r! |
Ω |
0.89407540187943 |
Real period |
R |
1.4453912457468 |
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 |
94550f1 |
Quadratic twists by: 5 |