Atkin-Lehner |
2+ 3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210f |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-76236187500 = -1 · 22 · 34 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-632,14364] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:146:1] [-2:126:1] |
Generators of the group modulo torsion |
j |
-27986475935881/76236187500 |
j-invariant |
L |
4.2546289514183 |
L(r)(E,1)/r! |
Ω |
0.95996591129716 |
Real period |
R |
0.36933854467716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680cz2 36630bh2 61050cb2 |
Quadratic twists by: -4 -3 5 |