Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090bf |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-34125598080 = -1 · 27 · 311 · 5 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247,-8823] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-348:1] |
Generators of the group modulo torsion |
j |
2294744759/46811520 |
j-invariant |
L |
7.1334992847334 |
L(r)(E,1)/r! |
Ω |
0.56542415509502 |
Real period |
R |
0.45057825935082 |
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 |
9030e1 |
Quadratic twists by: -3 |