Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360o |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
55552000 = 211 · 53 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -5 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:20:1] |
Generators of the group modulo torsion |
j |
94091762/27125 |
j-invariant |
L |
3.8661168283281 |
L(r)(E,1)/r! |
Ω |
1.8478824641756 |
Real period |
R |
0.17434896894506 |
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 |
8680g1 69440cs1 86800c1 121520h1 |
Quadratic twists by: -4 8 5 -7 |