Atkin-Lehner |
2+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656k |
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 |
[29920:463398:125] |
Generators of the group modulo torsion |
j |
3061257408/3798613 |
j-invariant |
L |
7.252278598315 |
L(r)(E,1)/r! |
Ω |
1.177852194355 |
Real period |
R |
6.1572059541681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110656s1 55328a2 |
Quadratic twists by: -4 8 |