Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136br |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-7.385796132138E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -5 1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22144296,40111047772] |
[a1,a2,a3,a4,a6] |
Generators |
[2438:24786:1] |
Generators of the group modulo torsion |
j |
-6434900743458429657088/395758108932291 |
j-invariant |
L |
6.0663534232993 |
L(r)(E,1)/r! |
Ω |
0.18391694420344 |
Real period |
R |
0.29450179310816 |
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 |
4284f1 68544ez1 5712y1 119952fr1 |
Quadratic twists by: -4 8 -3 -7 |