Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9912c |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
3916588032 = 210 · 33 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-400,796] |
[a1,a2,a3,a4,a6] |
j |
6929294404/3824793 |
j-invariant |
L |
1.2100267472613 |
L(r)(E,1)/r! |
Ω |
1.2100267472613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19824l1 79296s1 29736p1 69384o1 |
Quadratic twists by: -4 8 -3 -7 |