Atkin-Lehner |
3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019l |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-1593122098113 = -1 · 32 · 7 · 138 · 31 |
Discriminant |
Eigenvalues |
1 3+ -2 7- -3 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10481,413106] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-204:1] [14:512:1] |
Generators of the group modulo torsion |
j |
-156116857/1953 |
j-invariant |
L |
10.181179303787 |
L(r)(E,1)/r! |
Ω |
0.84781383689502 |
Real period |
R |
2.0014573283782 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110019c1 |
Quadratic twists by: 13 |