Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110f |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1861794366159000 = -1 · 23 · 3 · 53 · 710 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,29963,-557339] |
[a1,a2,a3,a4,a6] |
Generators |
[57:1129:1] |
Generators of the group modulo torsion |
j |
10531168151/6591000 |
j-invariant |
L |
3.4206169095864 |
L(r)(E,1)/r! |
Ω |
0.26999630801737 |
Real period |
R |
4.2230415849073 |
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 |
57330dr2 95550ju2 19110s2 |
Quadratic twists by: -3 5 -7 |