Atkin-Lehner |
3+ 5+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
81075g |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-273881484375 = -1 · 3 · 57 · 232 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 0 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1437,-13344] |
[a1,a2,a3,a4,a6] |
Generators |
[65:567:1] |
Generators of the group modulo torsion |
j |
21001731479/17528415 |
j-invariant |
L |
3.1049218822412 |
L(r)(E,1)/r! |
Ω |
0.54081869644073 |
Real period |
R |
2.8705755751848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16215g2 |
Quadratic twists by: 5 |