Atkin-Lehner |
2- 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932m |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-132305031936 = -1 · 28 · 39 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,648,16308] |
[a1,a2,a3,a4,a6] |
j |
5971968/26257 |
j-invariant |
L |
2.9756878977586 |
L(r)(E,1)/r! |
Ω |
0.74392197312822 |
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 |
85932g1 |
Quadratic twists by: -3 |