Atkin-Lehner |
5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4165o |
Isogeny class |
Conductor |
4165 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-5147228677871875 = -1 · 55 · 713 · 17 |
Discriminant |
Eigenvalues |
2 -2 5- 7- 6 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,21250,3246429] |
[a1,a2,a3,a4,a6] |
j |
9019694698496/43750721875 |
j-invariant |
L |
3.0945492448306 |
L(r)(E,1)/r! |
Ω |
0.30945492448306 |
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 |
66640cs1 37485z1 20825m1 595b1 |
Quadratic twists by: -4 -3 5 -7 |