Atkin-Lehner |
2- 3+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954t |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
123816 = 23 · 3 · 7 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-660352,206268281] |
[a1,a2,a3,a4,a6] |
Generators |
[475:-3:1] |
Generators of the group modulo torsion |
j |
31845659394640838326273/123816 |
j-invariant |
L |
8.0968607404374 |
L(r)(E,1)/r! |
Ω |
1.0685555151227 |
Real period |
R |
2.525796312825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862i4 |
Quadratic twists by: -3 |