Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840bd |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
7608729600 = 218 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492,176] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:64:1] |
Generators of the group modulo torsion |
j |
1860867/1075 |
j-invariant |
L |
5.4063113330655 |
L(r)(E,1)/r! |
Ω |
1.1197701505049 |
Real period |
R |
1.2070136347403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999543628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840eb1 1935b1 123840o1 |
Quadratic twists by: -4 8 -3 |