Atkin-Lehner |
3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461w |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
7037603640544113 = 36 · 76 · 136 · 17 |
Discriminant |
Eigenvalues |
1 3- 4 7- -6 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-323115,70659728] |
[a1,a2,a3,a4,a6] |
Generators |
[21716:-7673:64] |
Generators of the group modulo torsion |
j |
43499078731809/82055753 |
j-invariant |
L |
9.274622382598 |
L(r)(E,1)/r! |
Ω |
0.42007488721756 |
Real period |
R |
3.6797496042066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999813927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10829c1 1989b1 |
Quadratic twists by: -3 -7 |