Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290cq |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
14745600 |
Modular degree for the optimal curve |
Δ |
-1.0573319197403E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71676793,-281104730343] |
[a1,a2,a3,a4,a6] |
j |
-195395722614328041/50730248800000 |
j-invariant |
L |
3.2761808601871 |
L(r)(E,1)/r! |
Ω |
0.025595162945561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470be1 5390c1 |
Quadratic twists by: -7 -11 |