Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050cq |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-238064062500000 = -1 · 25 · 36 · 511 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-109130,-13868503] |
[a1,a2,a3,a4,a6] |
Generators |
[12873:169175:27] |
Generators of the group modulo torsion |
j |
-12618417497041/20900000 |
j-invariant |
L |
11.884020633171 |
L(r)(E,1)/r! |
Ω |
0.13132297622113 |
Real period |
R |
4.5247301650173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450e1 18810c1 |
Quadratic twists by: -3 5 |