Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611x |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-280416411 = -1 · 36 · 113 · 172 |
Discriminant |
Eigenvalues |
-2 3- 1 2 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,153,344] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-50:1] |
Generators of the group modulo torsion |
j |
1880064/1331 |
j-invariant |
L |
3.1882003855973 |
L(r)(E,1)/r! |
Ω |
1.1007310799854 |
Real period |
R |
0.24136991341243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179b1 28611m1 |
Quadratic twists by: -3 17 |