Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372bc |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3369600 |
Modular degree for the optimal curve |
Δ |
428973717652565904 = 24 · 34 · 74 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 4 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8863430,-10159564479] |
[a1,a2,a3,a4,a6] |
Generators |
[-3774992:462363:2197] |
Generators of the group modulo torsion |
j |
14540641024/81 |
j-invariant |
L |
9.4777712942805 |
L(r)(E,1)/r! |
Ω |
0.087498224597853 |
Real period |
R |
9.0266320088533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372n1 99372be1 |
Quadratic twists by: -7 13 |