Atkin-Lehner |
3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61347k |
Isogeny class |
Conductor |
61347 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13006050586429329 = 32 · 116 · 138 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-92446,9285775] |
[a1,a2,a3,a4,a6] |
j |
10218313/1521 |
j-invariant |
L |
0.76485658766569 |
L(r)(E,1)/r! |
Ω |
0.38242829501268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
507c2 4719d2 |
Quadratic twists by: -11 13 |