Atkin-Lehner |
2- 7- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
16898l |
Isogeny class |
Conductor |
16898 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-8.9322132358034E+19 |
Discriminant |
Eigenvalues |
2- -3 2 7- 3 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,962586,272944245] |
[a1,a2,a3,a4,a6] |
Generators |
[10505:1076219:1] |
Generators of the group modulo torsion |
j |
98637659333823743712207/89322132358034358272 |
j-invariant |
L |
5.8063977446173 |
L(r)(E,1)/r! |
Ω |
0.12467822191417 |
Real period |
R |
0.055441745649535 |
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 |
118286r1 |
Quadratic twists by: -7 |