Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148ce |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-37746126723638256 = -1 · 24 · 3 · 79 · 117 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,81030,-2898183] |
[a1,a2,a3,a4,a6] |
Generators |
[3362:195657:1] |
Generators of the group modulo torsion |
j |
17643776/11319 |
j-invariant |
L |
8.4120541658884 |
L(r)(E,1)/r! |
Ω |
0.20900761924498 |
Real period |
R |
3.3539663115022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164f1 6468l1 |
Quadratic twists by: -7 -11 |