Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698z |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
2185920 |
Modular degree for the optimal curve |
Δ |
-8.0590844114642E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 11- -7 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1390106,-13643280925] |
[a1,a2,a3,a4,a6] |
Generators |
[2305:41439:1] |
Generators of the group modulo torsion |
j |
167691610314591623/45491430503743488 |
j-invariant |
L |
4.8908692220041 |
L(r)(E,1)/r! |
Ω |
0.050914474798699 |
Real period |
R |
1.0441357234557 |
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 |
50094bb1 1518b1 |
Quadratic twists by: -3 -11 |