Atkin-Lehner |
2+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
434a |
Isogeny class |
Conductor |
434 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24 |
Modular degree for the optimal curve |
Δ |
13888 = 26 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -2 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
41063625/13888 |
j-invariant |
L |
1.3951818151634 |
L(r)(E,1)/r! |
Ω |
2.9955292798112 |
Real period |
R |
0.93150938271001 |
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 |
3472f1 13888a1 3906n1 10850x1 |
Quadratic twists by: -4 8 -3 5 |