Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960bp |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-219079901839841280 = -1 · 211 · 318 · 5 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63003,23327638] |
[a1,a2,a3,a4,a6] |
Generators |
[318:5954:1] |
Generators of the group modulo torsion |
j |
-18524646126002/146738831715 |
j-invariant |
L |
6.762625943318 |
L(r)(E,1)/r! |
Ω |
0.27022102714913 |
Real period |
R |
6.2565689415567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920p3 19320l4 |
Quadratic twists by: -4 -3 |