Atkin-Lehner |
2+ 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960d |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-614839806000 = -1 · 24 · 32 · 53 · 7 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1889,19990] |
[a1,a2,a3,a4,a6] |
j |
46566079563776/38427487875 |
j-invariant |
L |
1.1824590013102 |
L(r)(E,1)/r! |
Ω |
0.5912294724029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480ba1 |
Quadratic twists by: -4 |