Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49504h |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
9009728 = 26 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-269,-1692] |
[a1,a2,a3,a4,a6] |
Generators |
[162:273:8] |
Generators of the group modulo torsion |
j |
33635708352/140777 |
j-invariant |
L |
5.9486136912316 |
L(r)(E,1)/r! |
Ω |
1.1791548321662 |
Real period |
R |
2.522405679436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49504e1 99008a1 |
Quadratic twists by: -4 8 |