Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2130f |
Isogeny class |
Conductor |
2130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23228928000 = 212 · 32 · 53 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24575999,-46895788078] |
[a1,a2,a3,a4,a6] |
Generators |
[78768501966:-11269616049425:3652264] |
Generators of the group modulo torsion |
j |
1641561767772280600264346089/23228928000 |
j-invariant |
L |
2.6618331923098 |
L(r)(E,1)/r! |
Ω |
0.067806567737463 |
Real period |
R |
19.628136927798 |
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 |
17040l4 68160p4 6390r4 10650w4 |
Quadratic twists by: -4 8 -3 5 |