Atkin-Lehner |
2+ 3+ 11+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35178c |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-24694956 = -1 · 22 · 34 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11+ 13- 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-149,681] |
[a1,a2,a3,a4,a6] |
Generators |
[4:11:1] [-10:41:1] |
Generators of the group modulo torsion |
j |
-369682454233/24694956 |
j-invariant |
L |
4.2134204004197 |
L(r)(E,1)/r! |
Ω |
2.0913077112847 |
Real period |
R |
0.25184125091227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105534bt1 |
Quadratic twists by: -3 |