Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13860r |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1732429635552000 = -1 · 28 · 315 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20208,-2287532] |
[a1,a2,a3,a4,a6] |
Generators |
[437:8505:1] |
Generators of the group modulo torsion |
j |
-4890195460096/9282994875 |
j-invariant |
L |
4.392464146754 |
L(r)(E,1)/r! |
Ω |
0.18848947839918 |
Real period |
R |
3.8839163013754 |
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 |
55440da1 4620n1 69300bm1 97020cw1 |
Quadratic twists by: -4 -3 5 -7 |