Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812i |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
41071650048 = 28 · 310 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11+ 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-984,6788] |
[a1,a2,a3,a4,a6] |
Generators |
[4:54:1] |
Generators of the group modulo torsion |
j |
564600832/220077 |
j-invariant |
L |
8.775535647742 |
L(r)(E,1)/r! |
Ω |
1.0430445407271 |
Real period |
R |
1.4022308900551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32604b1 |
Quadratic twists by: -3 |