Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960u |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-2148975360 = -1 · 28 · 36 · 5 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1401,-20781] |
[a1,a2,a3,a4,a6] |
j |
-1188798106624/8394435 |
j-invariant |
L |
4.6798535315728 |
L(r)(E,1)/r! |
Ω |
0.38998779205859 |
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 |
39480n1 |
Quadratic twists by: -4 |