Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360h |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2226569234892800 = 211 · 52 · 72 · 316 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42336,2481440] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:1302:1] |
Generators of the group modulo torsion |
j |
4097637027723458/1087192009225 |
j-invariant |
L |
6.6434708323639 |
L(r)(E,1)/r! |
Ω |
0.43169170586027 |
Real period |
R |
1.2824489371655 |
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 |
8680j2 69440ea2 86800m2 121520v2 |
Quadratic twists by: -4 8 5 -7 |