Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136bn |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1714176 |
Modular degree for the optimal curve |
Δ |
-5240623064961024 = -1 · 212 · 315 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- -1 3 4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13776348,19681095904] |
[a1,a2,a3,a4,a6] |
Generators |
[2142:-76:1] |
Generators of the group modulo torsion |
j |
-96836380962843416896/1755074061 |
j-invariant |
L |
7.2656644453109 |
L(r)(E,1)/r! |
Ω |
0.30847971447385 |
Real period |
R |
0.9813806364111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71136k1 23712j1 |
Quadratic twists by: -4 -3 |