Atkin-Lehner |
11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53911c |
Isogeny class |
Conductor |
53911 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-6346459240875611 = -1 · 11 · 138 · 294 |
Discriminant |
Eigenvalues |
0 3 -3 -2 11- 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,22646,3601432] |
[a1,a2,a3,a4,a6] |
j |
266095853568/1314835379 |
j-invariant |
L |
1.217212191051 |
L(r)(E,1)/r! |
Ω |
0.30430304758996 |
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 |
4147a1 |
Quadratic twists by: 13 |