Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26334br |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-7314702905664 = -1 · 26 · 313 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1552,-128365] |
[a1,a2,a3,a4,a6] |
Generators |
[225:-3515:1] |
Generators of the group modulo torsion |
j |
567457901639/10033886016 |
j-invariant |
L |
8.041666149475 |
L(r)(E,1)/r! |
Ω |
0.36252086289791 |
Real period |
R |
0.3080920825874 |
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 |
8778i1 |
Quadratic twists by: -3 |