Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bt |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6639980697856000000 = 214 · 56 · 1110 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2442748,1464249072] |
[a1,a2,a3,a4,a6] |
Generators |
[35949801657:630732127773:27270901] |
Generators of the group modulo torsion |
j |
55537159171536/228765625 |
j-invariant |
L |
6.4555415415611 |
L(r)(E,1)/r! |
Ω |
0.23832354835345 |
Real period |
R |
13.543650189332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38720g2 9680g2 3520p2 |
Quadratic twists by: -4 8 -11 |