Atkin-Lehner |
2+ 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7224d |
Isogeny class |
Conductor |
7224 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-393216768 = -1 · 28 · 36 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -5 -7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,1539] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:42:1] [-9:54:1] |
Generators of the group modulo torsion |
j |
-4942652416/1536003 |
j-invariant |
L |
5.02840708531 |
L(r)(E,1)/r! |
Ω |
1.5968721160791 |
Real period |
R |
0.06560229832376 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14448g1 57792o1 21672k1 50568e1 |
Quadratic twists by: -4 8 -3 -7 |