Atkin-Lehner |
2- 3+ 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450bv |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
410400 |
Modular degree for the optimal curve |
Δ |
277516800000000 = 215 · 33 · 58 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- -2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16513,-163969] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:832:1] |
Generators of the group modulo torsion |
j |
1274803549105/710443008 |
j-invariant |
L |
7.4062887017978 |
L(r)(E,1)/r! |
Ω |
0.45192701715024 |
Real period |
R |
0.36418312727055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999937385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450ba1 |
Quadratic twists by: 5 |