Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400bt |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
4073125000000 = 26 · 510 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -3 5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8958,308588] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:698:1] |
Generators of the group modulo torsion |
j |
127211200/6517 |
j-invariant |
L |
7.6957803994426 |
L(r)(E,1)/r! |
Ω |
0.77095347093824 |
Real period |
R |
4.9910796710664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400n1 106400bi1 |
Quadratic twists by: -4 5 |