Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bj |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-50116591616 = -1 · 215 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -2 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,10751] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:104:1] |
Generators of the group modulo torsion |
j |
-8/13 |
j-invariant |
L |
7.2528854844124 |
L(r)(E,1)/r! |
Ω |
0.90741326054438 |
Real period |
R |
1.9982310706099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768bn1 20384f1 832b1 |
Quadratic twists by: -4 8 -7 |