Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848bm |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
376832 |
Modular degree for the optimal curve |
Δ |
-7268276219904 = -1 · 212 · 314 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -5 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59016,5519792] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:2916:1] |
Generators of the group modulo torsion |
j |
-7612819752448/2434131 |
j-invariant |
L |
9.2028779690359 |
L(r)(E,1)/r! |
Ω |
0.72909504076139 |
Real period |
R |
1.5777912057188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106848n1 35616g1 |
Quadratic twists by: -4 -3 |