Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110g |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-70447104000 = -1 · 215 · 33 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-136567,19368469] |
[a1,a2,a3,a4,a6] |
Generators |
[213:-104:1] |
Generators of the group modulo torsion |
j |
-5748703487739833929/1437696000 |
j-invariant |
L |
3.3213799187444 |
L(r)(E,1)/r! |
Ω |
0.87388809517438 |
Real period |
R |
1.2668974960238 |
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 |
57330dq2 95550jt2 19110r2 |
Quadratic twists by: -3 5 -7 |