Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848n |
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 |
[1159952:2833623:4096] |
Generators of the group modulo torsion |
j |
-7612819752448/2434131 |
j-invariant |
L |
10.166496954447 |
L(r)(E,1)/r! |
Ω |
0.15315062954937 |
Real period |
R |
8.2977923367534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106848bm1 35616x1 |
Quadratic twists by: -4 -3 |