Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360cn |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
-307500000000000000 = -1 · 214 · 3 · 516 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 3 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7483221,7876730355] |
[a1,a2,a3,a4,a6] |
Generators |
[416631912262:-76334765625:263374721] |
Generators of the group modulo torsion |
j |
-2828587024520876916736/18768310546875 |
j-invariant |
L |
6.3834697555485 |
L(r)(E,1)/r! |
Ω |
0.27356966646646 |
Real period |
R |
11.666991150737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360e1 9840v1 118080gm1 |
Quadratic twists by: -4 8 -3 |