Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800b |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-285660000000 = -1 · 28 · 33 · 57 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1425,-15250] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1800:1] |
Generators of the group modulo torsion |
j |
2963088/2645 |
j-invariant |
L |
7.9374763312243 |
L(r)(E,1)/r! |
Ω |
0.53546256554256 |
Real period |
R |
1.8529484691479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400bf2 82800f2 16560d2 |
Quadratic twists by: -4 -3 5 |