Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656s |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-243111232 = -1 · 26 · 7 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,121,-548] |
[a1,a2,a3,a4,a6] |
Generators |
[58072:757170:343] |
Generators of the group modulo torsion |
j |
3061257408/3798613 |
j-invariant |
L |
8.5211057262184 |
L(r)(E,1)/r! |
Ω |
0.94094873130585 |
Real period |
R |
9.0558661009874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110656k1 55328e2 |
Quadratic twists by: -4 8 |