Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110cg |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1058454523035000 = 23 · 32 · 54 · 77 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136025,-19302865] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:298:1] |
Generators of the group modulo torsion |
j |
2365875436837249/8996715000 |
j-invariant |
L |
6.9119019765797 |
L(r)(E,1)/r! |
Ω |
0.24865327478047 |
Real period |
R |
0.57911144734588 |
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 |
57330bo3 95550dz3 2730y4 |
Quadratic twists by: -3 5 -7 |