Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21866i |
Isogeny class |
Conductor |
21866 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-2198082738550634 = -1 · 2 · 133 · 298 |
Discriminant |
Eigenvalues |
2- -1 3 -1 0 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-316654,68489589] |
[a1,a2,a3,a4,a6] |
Generators |
[-1434:88177:8] |
Generators of the group modulo torsion |
j |
-5903244155017/3695354 |
j-invariant |
L |
7.514061208516 |
L(r)(E,1)/r! |
Ω |
0.45752959072112 |
Real period |
R |
2.7371858785764 |
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 |
754a1 |
Quadratic twists by: 29 |