Atkin-Lehner |
13+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
73853f |
Isogeny class |
Conductor |
73853 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-48514257259 = -1 · 136 · 19 · 232 |
Discriminant |
Eigenvalues |
-2 2 -1 3 -5 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-56,-10580] |
[a1,a2,a3,a4,a6] |
Generators |
[1034:11657:8] |
Generators of the group modulo torsion |
j |
-4096/10051 |
j-invariant |
L |
4.5420603890656 |
L(r)(E,1)/r! |
Ω |
0.51199937309105 |
Real period |
R |
2.2178056395327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
437b1 |
Quadratic twists by: 13 |