Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ba |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
258096513024000000 = 220 · 38 · 56 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166433,9304737] |
[a1,a2,a3,a4,a6] |
j |
124475734657/63011844 |
j-invariant |
L |
2.1980659707887 |
L(r)(E,1)/r! |
Ω |
0.27475824634828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600gi3 1050h3 100800fu3 1344g3 |
Quadratic twists by: -4 8 -3 5 |