Atkin-Lehner |
2- 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450cp |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-677976425153280000 = -1 · 211 · 35 · 54 · 114 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-573013,171541217] |
[a1,a2,a3,a4,a6] |
Generators |
[1898:76007:1] |
Generators of the group modulo torsion |
j |
-33291791573720790625/1084762280245248 |
j-invariant |
L |
11.859493973835 |
L(r)(E,1)/r! |
Ω |
0.28544068881212 |
Real period |
R |
0.12590307519885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450b1 |
Quadratic twists by: 5 |