Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688x |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-2271239357184 = -1 · 28 · 34 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18636,975708] |
[a1,a2,a3,a4,a6] |
Generators |
[114:588:1] |
Generators of the group modulo torsion |
j |
-485043664/1539 |
j-invariant |
L |
6.8571352825866 |
L(r)(E,1)/r! |
Ω |
0.82336255620416 |
Real period |
R |
0.34700869981884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344y1 44688e1 |
Quadratic twists by: -4 -7 |