Atkin-Lehner |
2+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
83582c |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322368 |
Modular degree for the optimal curve |
Δ |
569164241022308 = 22 · 239 · 79 |
Discriminant |
Eigenvalues |
2+ 0 2 0 -2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28136,-1400916] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:282:1] [260:2838:1] |
Generators of the group modulo torsion |
j |
1367631/316 |
j-invariant |
L |
8.8209366410964 |
L(r)(E,1)/r! |
Ω |
0.3747569518254 |
Real period |
R |
23.537753197544 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83582h1 |
Quadratic twists by: -23 |