Atkin-Lehner |
5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17395j |
Isogeny class |
Conductor |
17395 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
584640 |
Modular degree for the optimal curve |
Δ |
-8.7436099151611E+19 |
Discriminant |
Eigenvalues |
-1 2 5- 7- -3 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,75410,449847880] |
[a1,a2,a3,a4,a6] |
Generators |
[-8574:540211:27] |
Generators of the group modulo torsion |
j |
1175243382377/2166748046875 |
j-invariant |
L |
4.6335183266944 |
L(r)(E,1)/r! |
Ω |
0.14996412118268 |
Real period |
R |
1.0299170873123 |
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 |
86975h1 17395e1 |
Quadratic twists by: 5 -7 |