Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360w |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-7500274440601600 = -1 · 222 · 52 · 74 · 313 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31883,-4707782] |
[a1,a2,a3,a4,a6] |
Generators |
[474:9310:1] |
Generators of the group modulo torsion |
j |
-875066990644449/1831121689600 |
j-invariant |
L |
4.8812281164102 |
L(r)(E,1)/r! |
Ω |
0.1675668075763 |
Real period |
R |
3.6412552305352 |
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 |
2170j1 69440dn1 86800x1 121520cv1 |
Quadratic twists by: -4 8 5 -7 |