Atkin-Lehner |
2- 3- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23010s |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
331344000 = 27 · 33 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-280,-1600] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:20:1] |
Generators of the group modulo torsion |
j |
2428257525121/331344000 |
j-invariant |
L |
10.902578841533 |
L(r)(E,1)/r! |
Ω |
1.1776386065139 |
Real period |
R |
0.14695238934188 |
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 |
69030h1 115050l1 |
Quadratic twists by: -3 5 |