Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110bw |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-7.6582031170053E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1778505,-4308958473] |
[a1,a2,a3,a4,a6] |
Generators |
[4087:236096:1] |
Generators of the group modulo torsion |
j |
-107920681386000721/1328441886720000 |
j-invariant |
L |
7.194868045276 |
L(r)(E,1)/r! |
Ω |
0.056208812173543 |
Real period |
R |
0.38095979839753 |
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 |
57330n1 95550dg1 19110cs1 |
Quadratic twists by: -3 5 -7 |