Atkin-Lehner |
2- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656bp |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-163622158336 = -1 · 218 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 3 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4364,112656] |
[a1,a2,a3,a4,a6] |
Generators |
[32:76:1] |
Generators of the group modulo torsion |
j |
-35062107417/624169 |
j-invariant |
L |
5.2685229748263 |
L(r)(E,1)/r! |
Ω |
1.0225308346904 |
Real period |
R |
0.85873905601327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656f1 27664o1 |
Quadratic twists by: -4 8 |