Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344p |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-21343122864 = -1 · 24 · 34 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,229,6978] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:57:1] |
Generators of the group modulo torsion |
j |
34420736/555579 |
j-invariant |
L |
5.7173755578723 |
L(r)(E,1)/r! |
Ω |
0.89979873314444 |
Real period |
R |
0.26475251942789 |
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 |
44688a1 67032bv1 22344c1 |
Quadratic twists by: -4 -3 -7 |