Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9114q |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
698036693886 = 2 · 32 · 79 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33150,-2325494] |
[a1,a2,a3,a4,a6] |
j |
99832769119/17298 |
j-invariant |
L |
2.8305755003521 |
L(r)(E,1)/r! |
Ω |
0.35382193754401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912bi2 27342br2 9114c2 |
Quadratic twists by: -4 -3 -7 |