Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120f |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
114264000000 = 29 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2907,-58094] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:46:1] |
Generators of the group modulo torsion |
j |
196528293144/8265625 |
j-invariant |
L |
7.173495977579 |
L(r)(E,1)/r! |
Ω |
0.65187546919818 |
Real period |
R |
1.8340660439339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120ba2 66240l2 33120x2 |
Quadratic twists by: -4 8 -3 |