Atkin-Lehner |
11+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98923b |
Isogeny class |
Conductor |
98923 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199584 |
Modular degree for the optimal curve |
Δ |
-56943337026851 = -1 · 113 · 172 · 236 |
Discriminant |
Eigenvalues |
0 1 -3 -2 11+ 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5643,-322460] |
[a1,a2,a3,a4,a6] |
Generators |
[346:6570:1] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
2.932924172394 |
L(r)(E,1)/r! |
Ω |
0.32181877195064 |
Real period |
R |
4.5567947753373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999152165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
187a1 |
Quadratic twists by: -23 |