Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9918k |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
3.5298093200515E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -6 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1635014,-751802795] |
[a1,a2,a3,a4,a6] |
Generators |
[-655:6475:1] |
Generators of the group modulo torsion |
j |
24558203724037297371/1793328923462656 |
j-invariant |
L |
7.2827245355632 |
L(r)(E,1)/r! |
Ω |
0.13412713677194 |
Real period |
R |
2.714858719435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79344y1 9918c1 |
Quadratic twists by: -4 -3 |