Atkin-Lehner |
2- 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380h |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-14160737520 = -1 · 24 · 39 · 5 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,567,-2403] |
[a1,a2,a3,a4,a6] |
j |
64012032/44965 |
j-invariant |
L |
2.8259578670896 |
L(r)(E,1)/r! |
Ω |
0.70648946561326 |
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 |
70380j1 |
Quadratic twists by: -3 |