Atkin-Lehner |
2- 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398bg |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1611964208716092 = -1 · 22 · 33 · 74 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1758,-1931328] |
[a1,a2,a3,a4,a6] |
j |
600848365809887/1611964208716092 |
j-invariant |
L |
5.2836973108974 |
L(r)(E,1)/r! |
Ω |
0.22015405462073 |
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 |
107184cb3 40194n3 93786bz3 |
Quadratic twists by: -4 -3 -7 |