Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600x |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-48332800 = -1 · 215 · 52 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 3 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,-492] |
[a1,a2,a3,a4,a6] |
Generators |
[12:18:1] |
Generators of the group modulo torsion |
j |
-744385/472 |
j-invariant |
L |
3.3475533926917 |
L(r)(E,1)/r! |
Ω |
0.756955925946 |
Real period |
R |
2.2111943892295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2950d1 94400bx1 23600bh1 |
Quadratic twists by: -4 8 5 |