Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224cb |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-362607017849782272 = -1 · 226 · 38 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113484,32494448] |
[a1,a2,a3,a4,a6] |
Generators |
[-371:4851:1] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
6.3062077790322 |
L(r)(E,1)/r! |
Ω |
0.2681365926545 |
Real period |
R |
2.9398299000344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224ft1 882e1 9408p1 4032i1 |
Quadratic twists by: -4 8 -3 -7 |