Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400bo |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42048 |
Modular degree for the optimal curve |
Δ |
-13484800 = -1 · 28 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 2 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-413,3377] |
[a1,a2,a3,a4,a6] |
Generators |
[13:6:1] |
Generators of the group modulo torsion |
j |
-1220239360/2107 |
j-invariant |
L |
10.300327878155 |
L(r)(E,1)/r! |
Ω |
2.2360906115327 |
Real period |
R |
1.1516000146838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999551993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30100e1 120400cf1 |
Quadratic twists by: -4 5 |