Atkin-Lehner |
2+ 3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210h |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4638548475000000 = 26 · 32 · 58 · 11 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51617,3082869] |
[a1,a2,a3,a4,a6] |
Generators |
[218:1391:1] |
Generators of the group modulo torsion |
j |
15209507008787085721/4638548475000000 |
j-invariant |
L |
3.1395637930953 |
L(r)(E,1)/r! |
Ω |
0.40274419682757 |
Real period |
R |
0.9744286254854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97680db3 36630bj3 61050bx3 |
Quadratic twists by: -4 -3 5 |