Atkin-Lehner |
2+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
99400g |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9696000 |
Modular degree for the optimal curve |
Δ |
1.2129473080903E+23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 1 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17043208,21281042412] |
[a1,a2,a3,a4,a6] |
j |
136872997741627306/30323682702257 |
j-invariant |
L |
1.7774529626986 |
L(r)(E,1)/r! |
Ω |
0.098747400436659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99400r1 |
Quadratic twists by: 5 |