Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510de |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-7069166925004800 = -1 · 214 · 37 · 52 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,38452,-2827569] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1917:1] |
Generators of the group modulo torsion |
j |
176022219667511/197899468800 |
j-invariant |
L |
9.3585087894874 |
L(r)(E,1)/r! |
Ω |
0.22622440109322 |
Real period |
R |
0.1477437690861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170l1 48510dq1 |
Quadratic twists by: -3 -7 |