Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16698x |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-916970230775808 = -1 · 221 · 33 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11+ -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37848,-3202407] |
[a1,a2,a3,a4,a6] |
Generators |
[1029:-32899:1] |
Generators of the group modulo torsion |
j |
-4504796521098875/688933306368 |
j-invariant |
L |
6.8533237123076 |
L(r)(E,1)/r! |
Ω |
0.16971158252487 |
Real period |
R |
0.32049349387344 |
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 |
50094h1 16698c1 |
Quadratic twists by: -3 -11 |