Atkin-Lehner |
2- 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398bf |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2417946313074138 = 2 · 34 · 74 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40002,-1974582] |
[a1,a2,a3,a4,a6] |
j |
7078960796596752673/2417946313074138 |
j-invariant |
L |
5.5511281549098 |
L(r)(E,1)/r! |
Ω |
0.34694550968186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184bz3 40194m3 93786cb3 |
Quadratic twists by: -4 -3 -7 |