Atkin-Lehner |
2+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55594d |
Isogeny class |
Conductor |
55594 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-43585696 = -1 · 25 · 73 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11- 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37,-315] |
[a1,a2,a3,a4,a6] |
Generators |
[11:31:1] |
Generators of the group modulo torsion |
j |
15282783/120736 |
j-invariant |
L |
2.7741662646362 |
L(r)(E,1)/r! |
Ω |
1.0066062013144 |
Real period |
R |
2.75595983903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55594h1 |
Quadratic twists by: -19 |