Atkin-Lehner |
2- 3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244d |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-941458675248 = -1 · 24 · 39 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,324,46629] |
[a1,a2,a3,a4,a6] |
Generators |
[75:702:1] |
Generators of the group modulo torsion |
j |
11943936/2989441 |
j-invariant |
L |
4.6574305487242 |
L(r)(E,1)/r! |
Ω |
0.68307756191972 |
Real period |
R |
1.7045760276996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62244c1 |
Quadratic twists by: -3 |