Atkin-Lehner |
2- 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450cl |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
202048 |
Modular degree for the optimal curve |
Δ |
-2275984656000 = -1 · 27 · 311 · 53 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2177,61337] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-421:1] |
Generators of the group modulo torsion |
j |
9128018632699/18207877248 |
j-invariant |
L |
15.812605189272 |
L(r)(E,1)/r! |
Ω |
0.56635771623884 |
Real period |
R |
0.18129752870226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450m1 |
Quadratic twists by: 5 |