Atkin-Lehner |
2- 3- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210x |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
6329664000 = 29 · 35 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-495,-1863] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:33:1] |
Generators of the group modulo torsion |
j |
13415107060081/6329664000 |
j-invariant |
L |
8.8539088121625 |
L(r)(E,1)/r! |
Ω |
1.0598643178094 |
Real period |
R |
0.061880099761518 |
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 |
97680bx1 36630l1 61050b1 |
Quadratic twists by: -4 -3 5 |