Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
65598p |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-211015942900860864 = -1 · 26 · 3 · 133 · 298 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 -3 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-343987,-80765938] |
[a1,a2,a3,a4,a6] |
j |
-8998373257/421824 |
j-invariant |
L |
2.3591666983851 |
L(r)(E,1)/r! |
Ω |
0.098298612464354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598bc2 |
Quadratic twists by: 29 |