Atkin-Lehner |
3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11571h |
Isogeny class |
Conductor |
11571 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1856 |
Modular degree for the optimal curve |
Δ |
-2186919 = -1 · 34 · 72 · 19 · 29 |
Discriminant |
Eigenvalues |
1 3- 2 7- -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10,71] |
[a1,a2,a3,a4,a6] |
j |
-95443993/2186919 |
j-invariant |
L |
4.366009488277 |
L(r)(E,1)/r! |
Ω |
2.1830047441385 |
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 |
34713m1 80997c1 |
Quadratic twists by: -3 -7 |