Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282be |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23184 |
Modular degree for the optimal curve |
Δ |
3562647018 = 2 · 3 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-393,-897] |
[a1,a2,a3,a4,a6] |
Generators |
[-16722:92537:5832] |
Generators of the group modulo torsion |
j |
1164625/618 |
j-invariant |
L |
9.9746694648501 |
L(r)(E,1)/r! |
Ω |
1.1387206870648 |
Real period |
R |
8.7595400506521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846s1 30282ba1 |
Quadratic twists by: -3 -7 |