Atkin-Lehner |
3- 17- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66861l |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10563840 |
Modular degree for the optimal curve |
Δ |
-8.4086475474322E+22 |
Discriminant |
Eigenvalues |
1 3- -3 5 2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8739414,9783351553] |
[a1,a2,a3,a4,a6] |
Generators |
[1136:144953:1] |
Generators of the group modulo torsion |
j |
101261205904585684539743/115344959498383582089 |
j-invariant |
L |
6.330582129554 |
L(r)(E,1)/r! |
Ω |
0.071894541016167 |
Real period |
R |
3.1447758860779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22287a1 |
Quadratic twists by: -3 |