Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49504i |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-819885248 = -1 · 26 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ 1 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,86,1372] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:26:1] |
Generators of the group modulo torsion |
j |
1086373952/12810707 |
j-invariant |
L |
5.5649730718935 |
L(r)(E,1)/r! |
Ω |
1.1716949178642 |
Real period |
R |
0.79158447974782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49504q1 99008bp1 |
Quadratic twists by: -4 8 |