Atkin-Lehner |
2+ 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960n |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-544083750000 = -1 · 24 · 33 · 57 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2336,55335] |
[a1,a2,a3,a4,a6] |
j |
-88147123642624/34005234375 |
j-invariant |
L |
2.6043131554223 |
L(r)(E,1)/r! |
Ω |
0.86810439000497 |
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 |
39480q1 |
Quadratic twists by: -4 |