Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8040i |
Isogeny class |
Conductor |
8040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
10291200 = 211 · 3 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214400,-38139348] |
[a1,a2,a3,a4,a6] |
Generators |
[4362:20805:8] |
Generators of the group modulo torsion |
j |
532194189377299202/5025 |
j-invariant |
L |
3.2310006885109 |
L(r)(E,1)/r! |
Ω |
0.22186724499842 |
Real period |
R |
7.2813828119016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16080l3 64320bf4 24120i4 40200n4 |
Quadratic twists by: -4 8 -3 5 |