Atkin-Lehner |
3- 7+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
42441h |
Isogeny class |
Conductor |
42441 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-30537275643 = -1 · 38 · 72 · 43 · 472 |
Discriminant |
Eigenvalues |
-2 3- -2 7+ -3 -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,156,8426] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:10:1] [-12:70:1] |
Generators of the group modulo torsion |
j |
417167618048/30537275643 |
j-invariant |
L |
4.899595941025 |
L(r)(E,1)/r! |
Ω |
0.89689375182634 |
Real period |
R |
0.1707140593245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127323c1 |
Quadratic twists by: -3 |