Atkin-Lehner |
2- 3- 37+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
19758a |
Isogeny class |
Conductor |
19758 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
-284870844 = -1 · 22 · 35 · 37 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,128,-580] |
[a1,a2,a3,a4,a6] |
j |
231815006207/284870844 |
j-invariant |
L |
4.6459835438033 |
L(r)(E,1)/r! |
Ω |
0.92919670876066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59274a1 |
Quadratic twists by: -3 |