Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714c |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-464706638739826704 = -1 · 24 · 36 · 1310 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38754,32656612] |
[a1,a2,a3,a4,a6] |
j |
1829276567/132066064 |
j-invariant |
L |
1.8080962589209 |
L(r)(E,1)/r! |
Ω |
0.22601203227677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5746j2 3978h2 |
Quadratic twists by: -3 13 |