Atkin-Lehner |
2- 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270s |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-544890308188800 = -1 · 27 · 3 · 52 · 77 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 -4 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-95551,11383973] |
[a1,a2,a3,a4,a6] |
Generators |
[-281:-3878:1] [181:154:1] |
Generators of the group modulo torsion |
j |
-820052139160801/4631491200 |
j-invariant |
L |
11.757372905445 |
L(r)(E,1)/r! |
Ω |
0.5222568598247 |
Real period |
R |
0.13400372099642 |
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 |
8610q1 |
Quadratic twists by: -7 |