Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600cb |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
317440 |
Modular degree for the optimal curve |
Δ |
51394500000000 = 28 · 37 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51375,-4468750] |
[a1,a2,a3,a4,a6] |
j |
41141648/141 |
j-invariant |
L |
1.2687062840703 |
L(r)(E,1)/r! |
Ω |
0.31717656743495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28200g1 84600ba1 |
Quadratic twists by: -3 5 |