Atkin-Lehner |
3+ 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120099j |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1858560 |
Modular degree for the optimal curve |
Δ |
-5284118212747227 = -1 · 310 · 78 · 192 · 43 |
Discriminant |
Eigenvalues |
-2 3+ 2 7- 1 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-569102,-165094336] |
[a1,a2,a3,a4,a6] |
Generators |
[112555:898916:125] |
Generators of the group modulo torsion |
j |
-173263295590838272/44914263723 |
j-invariant |
L |
3.9794817519677 |
L(r)(E,1)/r! |
Ω |
0.086909092236829 |
Real period |
R |
5.7236268288442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000140697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17157e1 |
Quadratic twists by: -7 |