Atkin-Lehner |
2+ 3- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210m |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
128532600 = 23 · 32 · 52 · 7 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2699,-54178] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:16:1] [60:-2:1] |
Generators of the group modulo torsion |
j |
2173206713502889/128532600 |
j-invariant |
L |
6.1413107994175 |
L(r)(E,1)/r! |
Ω |
0.66239897549797 |
Real period |
R |
4.6356584374246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bq2 106050bl2 |
Quadratic twists by: -3 5 |