Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650er |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
2531088000000000 = 213 · 36 · 59 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37805,1474197] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:2040:1] |
Generators of the group modulo torsion |
j |
4196653397/1777664 |
j-invariant |
L |
10.370800045342 |
L(r)(E,1)/r! |
Ω |
0.41289649453383 |
Real period |
R |
0.96604580068898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850p1 97650ce1 |
Quadratic twists by: -3 5 |