Atkin-Lehner |
2+ 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690c |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-4576026433500 = -1 · 22 · 35 · 53 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3458,-130752] |
[a1,a2,a3,a4,a6] |
j |
-4575040052338729/4576026433500 |
j-invariant |
L |
0.59840858836083 |
L(r)(E,1)/r! |
Ω |
0.29920429418042 |
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 |
77520cp1 29070bj1 48450bo1 |
Quadratic twists by: -4 -3 5 |