Atkin-Lehner |
7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4277a |
Isogeny class |
Conductor |
4277 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
304 |
Modular degree for the optimal curve |
Δ |
-4277 = -1 · 7 · 13 · 47 |
Discriminant |
Eigenvalues |
-1 1 4 7+ -4 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[7:14:1] |
Generators of the group modulo torsion |
j |
-24137569/4277 |
j-invariant |
L |
3.2368729660496 |
L(r)(E,1)/r! |
Ω |
1.5093261322186 |
Real period |
R |
2.1445815433485 |
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 |
68432t1 38493d1 106925l1 29939a1 |
Quadratic twists by: -4 -3 5 -7 |