Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244k |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-349454746368 = -1 · 28 · 37 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-28460] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3825:1] |
Generators of the group modulo torsion |
j |
-4194304/1872507 |
j-invariant |
L |
3.8557229435889 |
L(r)(E,1)/r! |
Ω |
0.43029229786741 |
Real period |
R |
4.4803531955694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20748j1 |
Quadratic twists by: -3 |