Atkin-Lehner |
2- 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14570k |
Isogeny class |
Conductor |
14570 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
20800 |
Modular degree for the optimal curve |
Δ |
-4662400000 = -1 · 210 · 55 · 31 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -6 -2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1390,20100] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:130:1] [20:10:1] |
Generators of the group modulo torsion |
j |
-297021331323361/4662400000 |
j-invariant |
L |
6.9202877182814 |
L(r)(E,1)/r! |
Ω |
1.3767271396035 |
Real period |
R |
0.1005324514816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116560u1 72850a1 |
Quadratic twists by: -4 5 |