Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805bk |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1689657708892195 = -1 · 5 · 77 · 177 |
Discriminant |
Eigenvalues |
2 2 5- 7- 2 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4720,-1980049] |
[a1,a2,a3,a4,a6] |
Generators |
[96753228:3251102165:85184] |
Generators of the group modulo torsion |
j |
-4096/595 |
j-invariant |
L |
20.574868942243 |
L(r)(E,1)/r! |
Ω |
0.21011061578141 |
Real period |
R |
12.240498216253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115b1 4165f1 |
Quadratic twists by: -7 17 |