Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cp |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
24192000 |
Modular degree for the optimal curve |
Δ |
-2.6540530747248E+26 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,149159806,-350263150371] |
[a1,a2,a3,a4,a6] |
Generators |
[123418115:18073601931:12167] |
Generators of the group modulo torsion |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
10.473407042634 |
L(r)(E,1)/r! |
Ω |
0.030996270574614 |
Real period |
R |
8.4473122478956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164n1 6468n1 |
Quadratic twists by: -7 -11 |