Atkin-Lehner |
2+ 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210q |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-79120800000 = -1 · 28 · 35 · 55 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-193,13556] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:122:1] |
Generators of the group modulo torsion |
j |
-789145184521/79120800000 |
j-invariant |
L |
4.3762091089546 |
L(r)(E,1)/r! |
Ω |
0.89157416067862 |
Real period |
R |
0.098168145779902 |
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 |
97680bw1 36630bg1 61050bp1 |
Quadratic twists by: -4 -3 5 |