Atkin-Lehner |
11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53911f |
Isogeny class |
Conductor |
53911 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-44652810059 = -1 · 11 · 136 · 292 |
Discriminant |
Eigenvalues |
-2 -3 -1 -4 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6253,-190590] |
[a1,a2,a3,a4,a6] |
Generators |
[195:-2451:1] |
Generators of the group modulo torsion |
j |
-5601816576/9251 |
j-invariant |
L |
1.3257683068865 |
L(r)(E,1)/r! |
Ω |
0.26841356752743 |
Real period |
R |
1.234818641169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
319a1 |
Quadratic twists by: 13 |