Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14994by |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
570850431100701696 = 210 · 39 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-529871,-143806057] |
[a1,a2,a3,a4,a6] |
Generators |
[-453:1990:1] |
Generators of the group modulo torsion |
j |
3914907891433/135834624 |
j-invariant |
L |
8.7891896196478 |
L(r)(E,1)/r! |
Ω |
0.1773298052993 |
Real period |
R |
0.82606809054774 |
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 |
119952dq1 4998l1 14994db1 |
Quadratic twists by: -4 -3 -7 |