Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210p |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
109890 = 2 · 33 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11+ 3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
702595369/109890 |
j-invariant |
L |
3.1270715615491 |
L(r)(E,1)/r! |
Ω |
2.3256092558612 |
Real period |
R |
0.44820822094512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97680bj1 36630bu1 61050bo1 |
Quadratic twists by: -4 -3 5 |