Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282w |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4403431714248 = 23 · 32 · 78 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19552,1039289] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1029:1] |
Generators of the group modulo torsion |
j |
7026036894577/37428552 |
j-invariant |
L |
8.3936584036105 |
L(r)(E,1)/r! |
Ω |
0.78025048006223 |
Real period |
R |
0.89647049442176 |
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 |
90846bi2 4326n2 |
Quadratic twists by: -3 -7 |