Atkin-Lehner |
2+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656d |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1812987904 = -1 · 220 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ -3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,2049] |
[a1,a2,a3,a4,a6] |
Generators |
[15:72:1] [33:192:1] |
Generators of the group modulo torsion |
j |
-1/6916 |
j-invariant |
L |
14.387506904655 |
L(r)(E,1)/r! |
Ω |
1.1813653680406 |
Real period |
R |
3.0446776448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656bj1 3458d1 |
Quadratic twists by: -4 8 |