Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27552r |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-30252159479808 = -1 · 212 · 37 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 3 -4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-538445,-151896699] |
[a1,a2,a3,a4,a6] |
Generators |
[1063:21812:1] |
Generators of the group modulo torsion |
j |
-4214913012819053056/7385781123 |
j-invariant |
L |
2.9774657023771 |
L(r)(E,1)/r! |
Ω |
0.088121952066953 |
Real period |
R |
2.8156677881607 |
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 |
27552bd1 55104dd1 82656k1 |
Quadratic twists by: -4 8 -3 |