Atkin-Lehner |
2+ 3- 5- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330u |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
39840 |
Modular degree for the optimal curve |
Δ |
-7559730 = -1 · 2 · 36 · 5 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 5 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,135] |
[a1,a2,a3,a4,a6] |
j |
-117649/10370 |
j-invariant |
L |
1.9309609045059 |
L(r)(E,1)/r! |
Ω |
1.9309608631596 |
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 |
10370e1 |
Quadratic twists by: -3 |