Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720h |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
34048 |
Modular degree for the optimal curve |
Δ |
-6732460800 = -1 · 28 · 37 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -1 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-801,9315] |
[a1,a2,a3,a4,a6] |
Generators |
[27:90:1] [-18:135:1] |
Generators of the group modulo torsion |
j |
-222291764224/26298675 |
j-invariant |
L |
10.590015941241 |
L(r)(E,1)/r! |
Ω |
1.2944642150453 |
Real period |
R |
0.14608934362521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115440a1 |
Quadratic twists by: -4 |