Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160o |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-161495977500000000 = -1 · 28 · 35 · 510 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,132124,5625060] |
[a1,a2,a3,a4,a6] |
Generators |
[156:5478:1] |
Generators of the group modulo torsion |
j |
996381372425164976/630843662109375 |
j-invariant |
L |
3.2833013483736 |
L(r)(E,1)/r! |
Ω |
0.20090235936033 |
Real period |
R |
4.0856928694461 |
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 |
34320n1 51480q1 85800bi1 |
Quadratic twists by: -4 -3 5 |