Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360bh |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-15554560000 = -1 · 214 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -6 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,240,5908] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:38:1] [-4:70:1] |
Generators of the group modulo torsion |
j |
371694959/3797500 |
j-invariant |
L |
5.2758910697403 |
L(r)(E,1)/r! |
Ω |
0.91342163604691 |
Real period |
R |
0.7219955797979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170p1 69440co1 86800cd1 121520bl1 |
Quadratic twists by: -4 8 5 -7 |