Atkin-Lehner |
2+ 3- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050z |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
27843358567500 = 22 · 38 · 54 · 75 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23601,1370248] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:1026:1] [161:1242:1] |
Generators of the group modulo torsion |
j |
2325993286982425/44549373708 |
j-invariant |
L |
10.14479092722 |
L(r)(E,1)/r! |
Ω |
0.66583948512675 |
Real period |
R |
0.063483712135826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106050bg1 |
Quadratic twists by: 5 |