Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8040i |
Isogeny class |
Conductor |
8040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-83570729011200 = -1 · 211 · 34 · 52 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12400,-685748] |
[a1,a2,a3,a4,a6] |
Generators |
[7923:123310:27] |
Generators of the group modulo torsion |
j |
-102965999263202/40806020025 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16080l4 64320bf3 24120i3 40200n3 |
Quadratic twists by: -4 8 -3 5 |