Atkin-Lehner |
5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14455d |
Isogeny class |
Conductor |
14455 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-242945185 = -1 · 5 · 77 · 59 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -3 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,-750] |
[a1,a2,a3,a4,a6] |
Generators |
[11:19:1] [25:110:1] |
Generators of the group modulo torsion |
j |
-1/2065 |
j-invariant |
L |
2.9928073908044 |
L(r)(E,1)/r! |
Ω |
0.80472117238118 |
Real period |
R |
0.92976533161981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72275g1 2065b1 |
Quadratic twists by: 5 -7 |