Atkin-Lehner |
5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45815n |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31392 |
Modular degree for the optimal curve |
Δ |
-3243931075 = -1 · 52 · 74 · 11 · 173 |
Discriminant |
Eigenvalues |
2 0 5- 7+ 11- 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,343,1237] |
[a1,a2,a3,a4,a6] |
Generators |
[18824:128809:512] |
Generators of the group modulo torsion |
j |
1858719744/1351075 |
j-invariant |
L |
13.038229427362 |
L(r)(E,1)/r! |
Ω |
0.90100635097443 |
Real period |
R |
7.2353704350912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45815m1 |
Quadratic twists by: -7 |