Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392b |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.1751935748965E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29896832,-62909223300] |
[a1,a2,a3,a4,a6] |
Generators |
[-16992218187118306478467257215:-174166648632453938828994918:5372198561092930186369625] |
Generators of the group modulo torsion |
j |
597914615076708388/4400862921 |
j-invariant |
L |
5.2332243518319 |
L(r)(E,1)/r! |
Ω |
0.064564449512711 |
Real period |
R |
40.527135221695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56784u4 85176bw4 2184j3 |
Quadratic twists by: -4 -3 13 |