Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480g |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-5945840640 = -1 · 210 · 39 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 -5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,-21422] |
[a1,a2,a3,a4,a6] |
Generators |
[51:194:1] |
Generators of the group modulo torsion |
j |
-445138564/7965 |
j-invariant |
L |
5.5672078453238 |
L(r)(E,1)/r! |
Ω |
0.3868939257564 |
Real period |
R |
3.5973735142217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21240b1 14160g1 |
Quadratic twists by: -4 -3 |