Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400f |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
115893504000 = 211 · 39 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132435,18550350] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:5130:1] [214:98:1] |
Generators of the group modulo torsion |
j |
50980111614/23 |
j-invariant |
L |
8.7587743471075 |
L(r)(E,1)/r! |
Ω |
0.85712717545521 |
Real period |
R |
10.218757026875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800k2 41400bg2 41400bh2 |
Quadratic twists by: -4 -3 5 |