Atkin-Lehner |
2+ 3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
93138i |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
59616 |
Modular degree for the optimal curve |
Δ |
3352968 = 23 · 33 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 -5 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-83,-315] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:5:1] |
Generators of the group modulo torsion |
j |
178484689/9288 |
j-invariant |
L |
2.6377480784805 |
L(r)(E,1)/r! |
Ω |
1.584359958831 |
Real period |
R |
1.6648666602457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93138bf1 |
Quadratic twists by: -19 |