Atkin-Lehner |
2- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350y |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-9116450000000 = -1 · 27 · 58 · 72 · 612 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -5 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2013,148531] |
[a1,a2,a3,a4,a6] |
Generators |
[-261351755:1141887204:4330747] [-31:442:1] |
Generators of the group modulo torsion |
j |
-2309449585/23338112 |
j-invariant |
L |
8.7433916193432 |
L(r)(E,1)/r! |
Ω |
0.62284821932067 |
Real period |
R |
0.16711614842843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21350i1 |
Quadratic twists by: 5 |