Atkin-Lehner |
2+ 3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210h |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
34348976640000 = 212 · 34 · 54 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19937,-1054539] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:234:1] |
Generators of the group modulo torsion |
j |
876470240549871001/34348976640000 |
j-invariant |
L |
3.1395637930953 |
L(r)(E,1)/r! |
Ω |
0.40274419682757 |
Real period |
R |
1.9488572509708 |
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 |
97680db2 36630bj2 61050bx2 |
Quadratic twists by: -4 -3 5 |