Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
438g |
Isogeny class |
Conductor |
438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
23652 = 22 · 34 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,2] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
47045881/23652 |
j-invariant |
L |
1.4368065917803 |
L(r)(E,1)/r! |
Ω |
3.3567264352051 |
Real period |
R |
0.21401901815876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3504s1 14016p1 1314g1 10950q1 |
Quadratic twists by: -4 8 -3 5 |