Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
104188h |
Isogeny class |
Conductor |
104188 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
554400 |
Modular degree for the optimal curve |
Δ |
47853725102848 = 28 · 77 · 613 |
Discriminant |
Eigenvalues |
2- 3 2 7- 3 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30439,2016782] |
[a1,a2,a3,a4,a6] |
j |
53676647568/823543 |
j-invariant |
L |
8.9263251203099 |
L(r)(E,1)/r! |
Ω |
0.63759462339707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104188e1 |
Quadratic twists by: 61 |