Atkin-Lehner |
2+ 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090a |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29120 |
Modular degree for the optimal curve |
Δ |
-3250800000 = -1 · 27 · 33 · 55 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -5 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3750,-87500] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-16:1] |
Generators of the group modulo torsion |
j |
-216032401620027/120400000 |
j-invariant |
L |
2.5104963419277 |
L(r)(E,1)/r! |
Ω |
0.3050294671656 |
Real period |
R |
4.1151701920075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27090bd1 |
Quadratic twists by: -3 |