Atkin-Lehner |
7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
66101f |
Isogeny class |
Conductor |
66101 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22680 |
Modular degree for the optimal curve |
Δ |
-11268303571 = -1 · 76 · 19 · 712 |
Discriminant |
Eigenvalues |
0 0 1 7- 1 -6 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-392,-5917] |
[a1,a2,a3,a4,a6] |
Generators |
[1604:39:64] |
Generators of the group modulo torsion |
j |
-56623104/95779 |
j-invariant |
L |
4.3569024360962 |
L(r)(E,1)/r! |
Ω |
0.50717158896678 |
Real period |
R |
4.2952942663143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1349a1 |
Quadratic twists by: -7 |