Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064c |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
147992832 = 28 · 36 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-300,2016] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:54:1] [-4:56:1] |
Generators of the group modulo torsion |
j |
11702923216/578097 |
j-invariant |
L |
5.8561504242814 |
L(r)(E,1)/r! |
Ω |
1.8084292989285 |
Real period |
R |
3.2382523484611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19032h1 114192k1 |
Quadratic twists by: -4 -3 |