Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848bi |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-588730373812224 = -1 · 212 · 318 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7512,-1140176] |
[a1,a2,a3,a4,a6] |
Generators |
[27860:26244:343] |
Generators of the group modulo torsion |
j |
15700120064/197164611 |
j-invariant |
L |
7.2235947015335 |
L(r)(E,1)/r! |
Ω |
0.25333440334436 |
Real period |
R |
3.5642586455906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106848g1 35616h1 |
Quadratic twists by: -4 -3 |