Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39882bi |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
46207417289184 = 25 · 32 · 178 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 4 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33675,-2358698] |
[a1,a2,a3,a4,a6] |
j |
605391913/6624 |
j-invariant |
L |
2.1159848743962 |
L(r)(E,1)/r! |
Ω |
0.35266414571528 |
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 |
119646cu1 39882e1 |
Quadratic twists by: -3 17 |