Atkin-Lehner |
2+ 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12410h |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1232064800 = 25 · 52 · 172 · 732 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4293,-108592] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:22:1] |
Generators of the group modulo torsion |
j |
8747036666926921/1232064800 |
j-invariant |
L |
2.5650920715955 |
L(r)(E,1)/r! |
Ω |
0.58982764301483 |
Real period |
R |
2.1744420611455 |
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 |
99280bb2 111690bg2 62050w2 |
Quadratic twists by: -4 -3 5 |