Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830f |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
35856394640 = 24 · 5 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3350,74916] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:213:1] |
Generators of the group modulo torsion |
j |
2347334289/20240 |
j-invariant |
L |
3.6934672540337 |
L(r)(E,1)/r! |
Ω |
1.1646050206744 |
Real period |
R |
1.5857166972776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2530j1 |
Quadratic twists by: -11 |