Atkin-Lehner |
2- 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112u |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-116308952804352 = -1 · 210 · 3 · 74 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1848,518592] |
[a1,a2,a3,a4,a6] |
Generators |
[1704:25480:27] |
Generators of the group modulo torsion |
j |
681231352028/113582961723 |
j-invariant |
L |
7.662747006249 |
L(r)(E,1)/r! |
Ω |
0.45550858280945 |
Real period |
R |
4.2055996832086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70224l3 105336q3 |
Quadratic twists by: -4 -3 |