Atkin-Lehner |
2+ 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122200g |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-61100000000 = -1 · 28 · 58 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2033,36563] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:250:1] [23:-50:1] |
Generators of the group modulo torsion |
j |
-232428544/15275 |
j-invariant |
L |
13.062932565024 |
L(r)(E,1)/r! |
Ω |
1.0908546710929 |
Real period |
R |
0.74843451362003 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24440f1 |
Quadratic twists by: 5 |