Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840br |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
12277359429840 = 24 · 310 · 5 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6325,97360] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:170:1] |
Generators of the group modulo torsion |
j |
1749258449453056/767334964365 |
j-invariant |
L |
5.6641037369186 |
L(r)(E,1)/r! |
Ω |
0.64141732772043 |
Real period |
R |
2.9435353470952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460n1 |
Quadratic twists by: -4 |