Atkin-Lehner |
2- 3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210s |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
46932673536000000 = 216 · 33 · 56 · 75 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-944181,352579803] |
[a1,a2,a3,a4,a6] |
j |
93087102248804194242769/46932673536000000 |
j-invariant |
L |
2.8276503684913 |
L(r)(E,1)/r! |
Ω |
0.35345629606141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630u1 106050t1 |
Quadratic twists by: -3 5 |