Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40678i |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4392192 |
Modular degree for the optimal curve |
Δ |
362053691798968576 = 28 · 112 · 438 |
Discriminant |
Eigenvalues |
2+ 1 -1 -3 11- 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-297864694,1978660154248] |
[a1,a2,a3,a4,a6] |
j |
250053623928738169/30976 |
j-invariant |
L |
0.68756883316792 |
L(r)(E,1)/r! |
Ω |
0.1718922082946 |
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 |
40678y1 |
Quadratic twists by: -43 |