Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
111300t |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-37619007778800 = -1 · 24 · 314 · 52 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8162,83573] |
[a1,a2,a3,a4,a6] |
Generators |
[17:477:1] |
Generators of the group modulo torsion |
j |
150314294109440/94047519447 |
j-invariant |
L |
8.7219898051512 |
L(r)(E,1)/r! |
Ω |
0.40227713419845 |
Real period |
R |
0.77434089307551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111300i1 |
Quadratic twists by: 5 |