Atkin-Lehner |
2+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
106742b |
Isogeny class |
Conductor |
106742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
370656 |
Modular degree for the optimal curve |
Δ |
-44639023313806 = -1 · 2 · 19 · 537 |
Discriminant |
Eigenvalues |
2+ -2 -2 -1 -2 3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33767,2406960] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:1499:1] |
Generators of the group modulo torsion |
j |
-192100033/2014 |
j-invariant |
L |
1.9385971827032 |
L(r)(E,1)/r! |
Ω |
0.642715459014 |
Real period |
R |
0.75406510120396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999593326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2014c1 |
Quadratic twists by: 53 |