Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cg |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-249856000000 = -1 · 218 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -5 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3233,-73663] |
[a1,a2,a3,a4,a6] |
Generators |
[23007:669664:27] |
Generators of the group modulo torsion |
j |
-912673/61 |
j-invariant |
L |
8.7076380684128 |
L(r)(E,1)/r! |
Ω |
0.31534406068927 |
Real period |
R |
6.9032837116165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600s1 24400p1 3904j1 |
Quadratic twists by: -4 8 5 |