Atkin-Lehner |
2- 3- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210bd |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
1927989000000 = 26 · 33 · 56 · 7 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64775,6339657] |
[a1,a2,a3,a4,a6] |
Generators |
[148:-59:1] |
Generators of the group modulo torsion |
j |
30057052932071247601/1927989000000 |
j-invariant |
L |
9.7401862257224 |
L(r)(E,1)/r! |
Ω |
0.78883181092626 |
Real period |
R |
2.0579347187426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
63630r2 106050c2 |
Quadratic twists by: -3 5 |