Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225bf |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-1.2014904875364E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1397550,1784829406] |
[a1,a2,a3,a4,a6] |
Generators |
[334:36814:1] |
Generators of the group modulo torsion |
j |
-123633664/492075 |
j-invariant |
L |
4.2298737756574 |
L(r)(E,1)/r! |
Ω |
0.13419851093384 |
Real period |
R |
3.9399410491063 |
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 |
9075e1 5445l1 27225bh1 |
Quadratic twists by: -3 5 -11 |