Atkin-Lehner |
2- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69700k |
Isogeny class |
Conductor |
69700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
2722656250000 = 24 · 512 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11258,456637] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:775:1] |
Generators of the group modulo torsion |
j |
631256717056/10890625 |
j-invariant |
L |
4.9846473206438 |
L(r)(E,1)/r! |
Ω |
0.80891277959902 |
Real period |
R |
3.081078360042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13940g1 |
Quadratic twists by: 5 |