Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099w |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-2403239793325371 = -1 · 36 · 7 · 118 · 133 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 11- 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,23958,1877708] |
[a1,a2,a3,a4,a6] |
j |
9732096/15379 |
j-invariant |
L |
1.8767231620531 |
L(r)(E,1)/r! |
Ω |
0.31278717087457 |
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 |
11011e1 99099bo1 |
Quadratic twists by: -3 -11 |