Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880bc |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-235417600 = -1 · 212 · 52 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,-736] |
[a1,a2,a3,a4,a6] |
Generators |
[253:4025:1] |
Generators of the group modulo torsion |
j |
592704/57475 |
j-invariant |
L |
7.9451417148901 |
L(r)(E,1)/r! |
Ω |
0.83631779498492 |
Real period |
R |
4.7500733343935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bl2 33440f1 |
Quadratic twists by: -4 8 |