Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270i |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
426941224058880 = 232 · 32 · 5 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -3 -4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-206259,36024142] |
[a1,a2,a3,a4,a6] |
Generators |
[29155:83664:125] |
Generators of the group modulo torsion |
j |
439302518441971081/193273528320 |
j-invariant |
L |
4.1268480317745 |
L(r)(E,1)/r! |
Ω |
0.52186532676641 |
Real period |
R |
1.9769698329466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66270k1 |
Quadratic twists by: -47 |