Atkin-Lehner |
3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10065m |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-454000696875 = -1 · 39 · 55 · 112 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 1 11- -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-305,32381] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-1238:1] |
Generators of the group modulo torsion |
j |
-3148084412416/454000696875 |
j-invariant |
L |
4.9847849173838 |
L(r)(E,1)/r! |
Ω |
0.76784072947643 |
Real period |
R |
0.072132796497795 |
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 |
30195f1 50325h1 110715r1 |
Quadratic twists by: -3 5 -11 |