Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976g |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
144890921484288 = 219 · 34 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -4 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15681,-480447] |
[a1,a2,a3,a4,a6] |
Generators |
[17655:39996:125] |
Generators of the group modulo torsion |
j |
1626794704081/552715002 |
j-invariant |
L |
5.9269420689874 |
L(r)(E,1)/r! |
Ω |
0.43837684075109 |
Real period |
R |
6.7600994373144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bz2 1218j2 116928bv2 |
Quadratic twists by: -4 8 -3 |