Atkin-Lehner |
2+ 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210o |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-112968105468750 = -1 · 2 · 34 · 510 · 7 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-528,511348] |
[a1,a2,a3,a4,a6] |
Generators |
[-94006:637900:1331] [8:708:1] |
Generators of the group modulo torsion |
j |
-16234636151161/112968105468750 |
j-invariant |
L |
6.5155703485098 |
L(r)(E,1)/r! |
Ω |
0.47437971754957 |
Real period |
R |
0.68674630337979 |
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 |
63630bg2 106050bn2 |
Quadratic twists by: -3 5 |