Atkin-Lehner |
3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
7029h |
Isogeny class |
Conductor |
7029 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
5124141 = 38 · 11 · 71 |
Discriminant |
Eigenvalues |
2 3- -1 1 11- 7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-273,-1733] |
[a1,a2,a3,a4,a6] |
j |
3086626816/7029 |
j-invariant |
L |
4.6987064082496 |
L(r)(E,1)/r! |
Ω |
1.1746766020624 |
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 |
112464t1 2343b1 77319bc1 |
Quadratic twists by: -4 -3 -11 |