Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57222o |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-7332883845230592 = -1 · 212 · 311 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 11+ 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5256,-4121280] |
[a1,a2,a3,a4,a6] |
Generators |
[1168:39192:1] |
Generators of the group modulo torsion |
j |
-263762497/120434688 |
j-invariant |
L |
5.8139673288475 |
L(r)(E,1)/r! |
Ω |
0.18779183694926 |
Real period |
R |
3.8699547749387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19074bk1 57222w1 |
Quadratic twists by: -3 17 |