Atkin-Lehner |
2+ 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210o |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
405879862500 = 22 · 38 · 55 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6198,184756] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:627:1] [-55:627:1] |
Generators of the group modulo torsion |
j |
26325564840935641/405879862500 |
j-invariant |
L |
6.5155703485098 |
L(r)(E,1)/r! |
Ω |
0.94875943509915 |
Real period |
R |
0.17168657584495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bg1 106050bn1 |
Quadratic twists by: -3 5 |