Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2130f |
Isogeny class |
Conductor |
2130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1507590144000000 = -1 · 224 · 34 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1535999,-732844078] |
[a1,a2,a3,a4,a6] |
Generators |
[28397589:4126610780:1331] |
Generators of the group modulo torsion |
j |
-400770830496236396186089/1507590144000000 |
j-invariant |
L |
2.6618331923098 |
L(r)(E,1)/r! |
Ω |
0.067806567737463 |
Real period |
R |
9.8140684638988 |
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 |
17040l3 68160p3 6390r3 10650w3 |
Quadratic twists by: -4 8 -3 5 |