Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872t |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
34567830864 = 24 · 35 · 75 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 -6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1947,31194] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-63:1] [-30:252:1] |
Generators of the group modulo torsion |
j |
96487032832/4084101 |
j-invariant |
L |
10.771851780707 |
L(r)(E,1)/r! |
Ω |
1.1511368950717 |
Real period |
R |
0.18715153387952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88872n1 |
Quadratic twists by: -23 |