Atkin-Lehner |
2- 3- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986bn |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-8430890832 = -1 · 24 · 36 · 7 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16655,-823129] |
[a1,a2,a3,a4,a6] |
j |
-700818646515625/11565008 |
j-invariant |
L |
2.5215422716059 |
L(r)(E,1)/r! |
Ω |
0.21012852256255 |
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 |
8554e1 |
Quadratic twists by: -3 |