Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
7434b |
Isogeny class |
Conductor |
7434 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3509507663424 = 26 · 38 · 74 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4698,86260] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:326:1] |
Generators of the group modulo torsion |
j |
15732118860193/4814139456 |
j-invariant |
L |
2.3800580198831 |
L(r)(E,1)/r! |
Ω |
0.73287700910668 |
Real period |
R |
1.6237772438681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59472bj2 2478e2 52038m2 |
Quadratic twists by: -4 -3 -7 |