Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ed |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-31603654656 = -1 · 215 · 39 · 72 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 5 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,756,3024] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:27:1] |
Generators of the group modulo torsion |
j |
1512 |
j-invariant |
L |
5.0120160847058 |
L(r)(E,1)/r! |
Ω |
0.73423083219042 |
Real period |
R |
1.7065532612385 |
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 |
28224ee1 14112h1 28224eb1 28224db1 |
Quadratic twists by: -4 8 -3 -7 |