Atkin-Lehner |
2+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
111800i |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-17888000000 = -1 · 211 · 56 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 -3 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-7312] |
[a1,a2,a3,a4,a6] |
Generators |
[2234258:24925525:17576] |
Generators of the group modulo torsion |
j |
-235298/559 |
j-invariant |
L |
9.7721097551939 |
L(r)(E,1)/r! |
Ω |
0.49564222574206 |
Real period |
R |
9.8580278731085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4472a1 |
Quadratic twists by: 5 |