Atkin-Lehner |
2+ 3- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
25662m |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-26062917426 = -1 · 2 · 33 · 75 · 13 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,725,2000] |
[a1,a2,a3,a4,a6] |
Generators |
[4:68:1] |
Generators of the group modulo torsion |
j |
42227808999767/26062917426 |
j-invariant |
L |
3.3166423827624 |
L(r)(E,1)/r! |
Ω |
0.73505860304472 |
Real period |
R |
0.75201314312999 |
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 |
76986v1 |
Quadratic twists by: -3 |