Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400bf |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064000 |
Modular degree for the optimal curve |
Δ |
-1.2260539554441E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19431083,37029483162] |
[a1,a2,a3,a4,a6] |
j |
-25963589461091772416/3923372657421063 |
j-invariant |
L |
1.8183282625548 |
L(r)(E,1)/r! |
Ω |
0.10101823544058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200dg1 92400dc1 |
Quadratic twists by: -4 5 |