Atkin-Lehner |
2+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
19936a |
Isogeny class |
Conductor |
19936 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-141490098176 = -1 · 212 · 72 · 893 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ -4 2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1457,27551] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:112:1] [26:89:1] |
Generators of the group modulo torsion |
j |
-83568086848/34543481 |
j-invariant |
L |
7.0867216416214 |
L(r)(E,1)/r! |
Ω |
0.96907553451417 |
Real period |
R |
0.6094056817748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19936e1 39872bc1 |
Quadratic twists by: -4 8 |