Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282w |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
439732431936 = 26 · 34 · 77 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1912,-4999] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:93:1] |
Generators of the group modulo torsion |
j |
6570725617/3737664 |
j-invariant |
L |
8.3936584036105 |
L(r)(E,1)/r! |
Ω |
0.78025048006223 |
Real period |
R |
1.7929409888435 |
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 |
90846bi1 4326n1 |
Quadratic twists by: -3 -7 |