Atkin-Lehner |
2- 7+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
63784k |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
2647946325248 = 28 · 7 · 173 · 673 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -1 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-414644,-102768748] |
[a1,a2,a3,a4,a6] |
Generators |
[5356:389002:1] |
Generators of the group modulo torsion |
j |
30797105662599257088/10343540333 |
j-invariant |
L |
5.8212036319569 |
L(r)(E,1)/r! |
Ω |
0.18813981692056 |
Real period |
R |
5.1568063644712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568l1 |
Quadratic twists by: -4 |