Atkin-Lehner |
2- 7- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17374d |
Isogeny class |
Conductor |
17374 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
30080 |
Modular degree for the optimal curve |
Δ |
-43703532544 = -1 · 210 · 7 · 174 · 73 |
Discriminant |
Eigenvalues |
2- -2 2 7- 6 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3072,-66560] |
[a1,a2,a3,a4,a6] |
j |
-3206241136852993/43703532544 |
j-invariant |
L |
3.2037702135356 |
L(r)(E,1)/r! |
Ω |
0.32037702135356 |
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 |
121618n1 |
Quadratic twists by: -7 |