Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3094a |
Isogeny class |
Conductor |
3094 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2000 |
Modular degree for the optimal curve |
Δ |
-3803491328 = -1 · 210 · 75 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 1 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1446,21240] |
[a1,a2,a3,a4,a6] |
Generators |
[21:5:1] |
Generators of the group modulo torsion |
j |
-334038694641625/3803491328 |
j-invariant |
L |
2.8316314774898 |
L(r)(E,1)/r! |
Ω |
1.4028138836167 |
Real period |
R |
1.0092684106424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24752z1 99008m1 27846be1 77350bi1 |
Quadratic twists by: -4 8 -3 5 |