Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38532j |
Isogeny class |
Conductor |
38532 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
4961378658654288 = 24 · 34 · 139 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257781,50347998] |
[a1,a2,a3,a4,a6] |
j |
11165237248/29241 |
j-invariant |
L |
2.6004968085981 |
L(r)(E,1)/r! |
Ω |
0.4334161347707 |
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 |
115596bi1 38532i1 |
Quadratic twists by: -3 13 |