Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11152b |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
12133376 = 210 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 2 2 -4 2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3952,-94320] |
[a1,a2,a3,a4,a6] |
Generators |
[414:8310:1] |
Generators of the group modulo torsion |
j |
6667828959172/11849 |
j-invariant |
L |
6.5222338704476 |
L(r)(E,1)/r! |
Ω |
0.60212437661977 |
Real period |
R |
5.4160187859046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5576b1 44608bd1 100368bb1 |
Quadratic twists by: -4 8 -3 |