Atkin-Lehner |
2+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400n |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
10041228704000000 = 211 · 56 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54808,-1089612] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:1156:1] |
Generators of the group modulo torsion |
j |
569001644066/313788397 |
j-invariant |
L |
3.9967772191361 |
L(r)(E,1)/r! |
Ω |
0.33390791857048 |
Real period |
R |
0.49873745140294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44200i2 3536a2 |
Quadratic twists by: -4 5 |