Atkin-Lehner |
3- 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89817k |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
635040 |
Modular degree for the optimal curve |
Δ |
501619940239509 = 35 · 76 · 132 · 473 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 1 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-157600,-24109928] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:58:1] |
Generators of the group modulo torsion |
j |
3679653013295104/4263699141 |
j-invariant |
L |
4.5666719238104 |
L(r)(E,1)/r! |
Ω |
0.23962961364802 |
Real period |
R |
1.9057210249473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1833d1 |
Quadratic twists by: -7 |