Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048ci |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-2237668416 = -1 · 26 · 38 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,2320] |
[a1,a2,a3,a4,a6] |
Generators |
[20:90:1] [48:328:1] |
Generators of the group modulo torsion |
j |
-3241792/47961 |
j-invariant |
L |
8.5225988371449 |
L(r)(E,1)/r! |
Ω |
1.2352664642427 |
Real period |
R |
6.8994011282982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048cj1 21024o2 14016cb1 |
Quadratic twists by: -4 8 -3 |