Atkin-Lehner |
3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28611m |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
-6768570469244859 = -1 · 36 · 113 · 178 |
Discriminant |
Eigenvalues |
-2 3- -1 -2 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,44217,1691300] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1300:1] |
Generators of the group modulo torsion |
j |
1880064/1331 |
j-invariant |
L |
1.8359435128339 |
L(r)(E,1)/r! |
Ω |
0.26696650048117 |
Real period |
R |
0.57308798092797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179g1 28611x1 |
Quadratic twists by: -3 17 |