Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160h |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-71172105468750000 = -1 · 24 · 34 · 512 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28105,12716118] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:2775:1] |
Generators of the group modulo torsion |
j |
153440161062692864/4448256591796875 |
j-invariant |
L |
6.4270054965261 |
L(r)(E,1)/r! |
Ω |
0.26048290000417 |
Real period |
R |
2.0561188138208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34320g1 51480bn1 85800bs1 |
Quadratic twists by: -4 -3 5 |