Atkin-Lehner |
2- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
46900f |
Isogeny class |
Conductor |
46900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-21011200 = -1 · 28 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,-223] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
327680/3283 |
j-invariant |
L |
9.7462898352688 |
L(r)(E,1)/r! |
Ω |
1.0632296112522 |
Real period |
R |
1.5277806618805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46900h1 |
Quadratic twists by: 5 |