Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26264o |
Isogeny class |
Conductor |
26264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
43259066704 = 24 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ 3 -3 7- -4 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-469714,123907721] |
[a1,a2,a3,a4,a6] |
Generators |
[10668:539:27] |
Generators of the group modulo torsion |
j |
6088579813251072/22981 |
j-invariant |
L |
7.4700112473618 |
L(r)(E,1)/r! |
Ω |
0.7634186538464 |
Real period |
R |
2.4462368091626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52528s1 3752d1 |
Quadratic twists by: -4 -7 |