Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bp |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-37231446196224000 = -1 · 224 · 36 · 53 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125760,-19473408] |
[a1,a2,a3,a4,a6] |
j |
-53702537074079041/9089708544000 |
j-invariant |
L |
1.5071723424184 |
L(r)(E,1)/r! |
Ω |
0.12559767338251 |
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 |
14910bn1 |
Quadratic twists by: -4 |