Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15288h |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-222000839424 = -1 · 28 · 34 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -2 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1111,-18003] |
[a1,a2,a3,a4,a6] |
Generators |
[89:882:1] |
Generators of the group modulo torsion |
j |
5030912/7371 |
j-invariant |
L |
4.8992798775705 |
L(r)(E,1)/r! |
Ω |
0.52770595252231 |
Real period |
R |
0.29012842368422 |
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 |
30576be1 122304ds1 45864bx1 2184g1 |
Quadratic twists by: -4 8 -3 -7 |