Atkin-Lehner |
3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98553bb |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
517104 |
Modular degree for the optimal curve |
Δ |
-1126672588576899 = -1 · 36 · 7 · 13 · 198 |
Discriminant |
Eigenvalues |
0 3- 3 7- 6 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,18291,-1298320] |
[a1,a2,a3,a4,a6] |
j |
39845888/66339 |
j-invariant |
L |
4.6320924665108 |
L(r)(E,1)/r! |
Ω |
0.25733847551454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98553l1 |
Quadratic twists by: -19 |