Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244bf |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1122403092451765488 = -1 · 24 · 36 · 72 · 133 · 197 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59877,51283125] |
[a1,a2,a3,a4,a6] |
Generators |
[801:22743:1] |
Generators of the group modulo torsion |
j |
-2035430602516224/96227974318567 |
j-invariant |
L |
4.1201777983303 |
L(r)(E,1)/r! |
Ω |
0.22816914011317 |
Real period |
R |
0.21497094510929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6916f1 |
Quadratic twists by: -3 |