Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936bl |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4806460809216 = -1 · 213 · 37 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 11+ -3 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40467,3135058] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:2502:1] [-31:2088:1] |
Generators of the group modulo torsion |
j |
-2454365649169/1609674 |
j-invariant |
L |
8.6401330336117 |
L(r)(E,1)/r! |
Ω |
0.76273083830159 |
Real period |
R |
0.23599776289944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5742k1 15312v1 |
Quadratic twists by: -4 -3 |