Atkin-Lehner |
2- 5+ 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
99760m |
Isogeny class |
Conductor |
99760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2601984 |
Modular degree for the optimal curve |
Δ |
7.196888793088E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1224883,325058418] |
[a1,a2,a3,a4,a6] |
j |
49618951810122781449/17570529280000000 |
j-invariant |
L |
3.2107896654031 |
L(r)(E,1)/r! |
Ω |
0.17837718962184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12470c1 |
Quadratic twists by: -4 |