Atkin-Lehner |
2+ 3+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35178g |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-150244112304 = -1 · 24 · 36 · 11 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 11- 13- -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9333,-351459] |
[a1,a2,a3,a4,a6] |
Generators |
[126:639:1] |
Generators of the group modulo torsion |
j |
-89920811116864729/150244112304 |
j-invariant |
L |
3.653796433349 |
L(r)(E,1)/r! |
Ω |
0.2428369062189 |
Real period |
R |
0.94039361907566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105534bi1 |
Quadratic twists by: -3 |