Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116380b |
Isogeny class |
Conductor |
116380 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
1432987405520 = 24 · 5 · 112 · 236 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2821,-2214] |
[a1,a2,a3,a4,a6] |
Generators |
[-166811466:-2105108533:10941048] |
Generators of the group modulo torsion |
j |
1048576/605 |
j-invariant |
L |
9.7808667747044 |
L(r)(E,1)/r! |
Ω |
0.71449956718795 |
Real period |
R |
13.689115035606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
220b1 |
Quadratic twists by: -23 |