Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120a |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
114264000000 = 29 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16803,838198] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1250:1] [78:46:1] |
Generators of the group modulo torsion |
j |
37953380909016/8265625 |
j-invariant |
L |
7.6634368118679 |
L(r)(E,1)/r! |
Ω |
1.0237472296788 |
Real period |
R |
1.8714182050271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120v2 66240v2 33120z2 |
Quadratic twists by: -4 8 -3 |