Atkin-Lehner |
2+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656q |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-70546985320448 = -1 · 231 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 1 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31073,2157025] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:2048:1] |
Generators of the group modulo torsion |
j |
-12657482097625/269115392 |
j-invariant |
L |
5.4452344896821 |
L(r)(E,1)/r! |
Ω |
0.61583185541545 |
Real period |
R |
1.1052600002105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999201374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656w1 3458b1 |
Quadratic twists by: -4 8 |