Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
47700k |
Isogeny class |
Conductor |
47700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
928512 |
Modular degree for the optimal curve |
Δ |
-5537088013521888000 = -1 · 28 · 319 · 53 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 6 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-883920,339310100] |
[a1,a2,a3,a4,a6] |
j |
-3274048339116032/237358025271 |
j-invariant |
L |
1.8920214945379 |
L(r)(E,1)/r! |
Ω |
0.23650268686903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15900b1 47700n1 |
Quadratic twists by: -3 5 |