Atkin-Lehner |
2+ 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792o |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-18161240832 = -1 · 28 · 32 · 76 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -6 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1241,-18453] |
[a1,a2,a3,a4,a6] |
j |
-7023616/603 |
j-invariant |
L |
6.4031373478133 |
L(r)(E,1)/r! |
Ω |
0.40019608497728 |
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 |
1608a1 |
Quadratic twists by: -7 |