Atkin-Lehner |
3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23985o |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-5731516881675 = -1 · 39 · 52 · 132 · 413 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 1 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30027,2006010] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:1332:1] [233:-2768:1] |
Generators of the group modulo torsion |
j |
-4107069156265984/7862163075 |
j-invariant |
L |
4.0982699189295 |
L(r)(E,1)/r! |
Ω |
0.75997249762442 |
Real period |
R |
0.11234699094758 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7995e1 119925bm1 |
Quadratic twists by: -3 5 |