Atkin-Lehner |
3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14805c |
Isogeny class |
Conductor |
14805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-8394435 = -1 · 36 · 5 · 72 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -4 -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,189] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:13:1] [-3:17:1] |
Generators of the group modulo torsion |
j |
-16777216/11515 |
j-invariant |
L |
5.3743280055424 |
L(r)(E,1)/r! |
Ω |
2.1446484525657 |
Real period |
R |
0.62648123042187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1645b1 74025q1 103635bk1 |
Quadratic twists by: -3 5 -7 |