Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2400d |
Isogeny class |
Conductor |
2400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
360000000 = 29 · 32 · 57 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12008,-502488] |
[a1,a2,a3,a4,a6] |
Generators |
[1946:26425:8] |
Generators of the group modulo torsion |
j |
23937672968/45 |
j-invariant |
L |
2.5088458290519 |
L(r)(E,1)/r! |
Ω |
0.45606728477826 |
Real period |
R |
5.5010431854846 |
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 |
2400k3 4800ch3 7200bp3 480h2 |
Quadratic twists by: -4 8 -3 5 |