Atkin-Lehner |
2+ 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630p |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
18921616682760 = 23 · 319 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- -3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10809,381253] |
[a1,a2,a3,a4,a6] |
j |
191591101730449/25955578440 |
j-invariant |
L |
2.6454013458048 |
L(r)(E,1)/r! |
Ω |
0.66135033645584 |
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 |
12210r1 |
Quadratic twists by: -3 |