Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483w |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-2050906527053346291 = -1 · 3 · 78 · 179 |
Discriminant |
Eigenvalues |
2 3- 1 7- -1 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,278500,39428813] |
[a1,a2,a3,a4,a6] |
Generators |
[-276339678088122:-164361768268256605:27167746198328] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
15.120948501497 |
L(r)(E,1)/r! |
Ω |
0.16983088620062 |
Real period |
R |
22.258831770499 |
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 |
127449bp1 6069c1 2499f1 |
Quadratic twists by: -3 -7 17 |