Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560ce |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4811375567831040 = 217 · 32 · 5 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2305216,1346376500] |
[a1,a2,a3,a4,a6] |
Generators |
[874:96:1] |
Generators of the group modulo torsion |
j |
68523370149961/243360 |
j-invariant |
L |
6.7283676517392 |
L(r)(E,1)/r! |
Ω |
0.37939630590164 |
Real period |
R |
2.2168005944822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5070m2 121680ez2 3120x2 |
Quadratic twists by: -4 -3 13 |