Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400gq |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-73920000000000 = -1 · 215 · 3 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,413588] |
[a1,a2,a3,a4,a6] |
j |
-25/1848 |
j-invariant |
L |
1.9567999716094 |
L(r)(E,1)/r! |
Ω |
0.48919999978514 |
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 |
11550br1 92400ft1 |
Quadratic twists by: -4 5 |