Atkin-Lehner |
2+ 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210a |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-219395385000 = -1 · 23 · 34 · 54 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1012,-18408] |
[a1,a2,a3,a4,a6] |
Generators |
[21:102:1] |
Generators of the group modulo torsion |
j |
114444397828151/219395385000 |
j-invariant |
L |
2.315731115735 |
L(r)(E,1)/r! |
Ω |
0.52067781013296 |
Real period |
R |
2.223765897709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680ci3 36630bm3 61050ca3 |
Quadratic twists by: -4 -3 5 |