Atkin-Lehner |
2+ 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29640i |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-2139396206688000 = -1 · 28 · 36 · 53 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78300,-8748000] |
[a1,a2,a3,a4,a6] |
j |
-207383681339755216/8357016432375 |
j-invariant |
L |
2.5625769088265 |
L(r)(E,1)/r! |
Ω |
0.14236538382371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59280e1 88920bc1 |
Quadratic twists by: -4 -3 |