Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224df |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-5100326977536 = -1 · 215 · 33 · 78 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -5 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4116,38416] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1176:1] [18:344:1] |
Generators of the group modulo torsion |
j |
1512 |
j-invariant |
L |
6.8344569105699 |
L(r)(E,1)/r! |
Ω |
0.48066690944043 |
Real period |
R |
0.59244568816261 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224de1 14112bf1 28224db1 28224eb1 |
Quadratic twists by: -4 8 -3 -7 |