Atkin-Lehner |
2+ 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350b |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1264054768709200 = -1 · 24 · 52 · 13 · 796 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,23075,-1042035] |
[a1,a2,a3,a4,a6] |
j |
54347481628829375/50562190748368 |
j-invariant |
L |
3.1804031108756 |
L(r)(E,1)/r! |
Ω |
0.26503359263198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51350bb2 |
Quadratic twists by: 5 |