Atkin-Lehner |
3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4389j |
Isogeny class |
Conductor |
4389 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
1238715547642881 = 314 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-105010,-12996409] |
[a1,a2,a3,a4,a6] |
j |
128058892751492323993/1238715547642881 |
j-invariant |
L |
3.7151301699837 |
L(r)(E,1)/r! |
Ω |
0.26536644071312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70224bg2 13167h2 109725g2 30723q2 |
Quadratic twists by: -4 -3 5 -7 |