Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282x |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
608139399789121536 = 212 · 36 · 711 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1738962,-882566049] |
[a1,a2,a3,a4,a6] |
Generators |
[1707:32711:1] |
Generators of the group modulo torsion |
j |
4943172466708284817/5169099608064 |
j-invariant |
L |
8.2517686673193 |
L(r)(E,1)/r! |
Ω |
0.13147836570513 |
Real period |
R |
5.2301181662502 |
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 |
90846bj1 4326o1 |
Quadratic twists by: -3 -7 |