Atkin-Lehner |
2- 3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158by |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-1321870914 = -1 · 2 · 311 · 7 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,4443] |
[a1,a2,a3,a4,a6] |
Generators |
[94:111:8] |
Generators of the group modulo torsion |
j |
-16022066761/1813266 |
j-invariant |
L |
9.8105660641363 |
L(r)(E,1)/r! |
Ω |
1.4841071616975 |
Real period |
R |
1.6526040567697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386d1 |
Quadratic twists by: -3 |