Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110bk |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
175 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-690779023593750 = -1 · 2 · 35 · 57 · 72 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6648,-1282172] |
[a1,a2,a3,a4,a6] |
Generators |
[134:420:1] |
Generators of the group modulo torsion |
j |
-662989657192009/14097531093750 |
j-invariant |
L |
5.0116180283628 |
L(r)(E,1)/r! |
Ω |
0.21992169759499 |
Real period |
R |
0.13021824412101 |
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 |
57330en1 95550gv1 19110b1 |
Quadratic twists by: -3 5 -7 |