Atkin-Lehner |
3- 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019s |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45087891174493713 = 316 · 7 · 136 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-218690,37996103] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:8866:1] |
Generators of the group modulo torsion |
j |
239633492476897/9341138457 |
j-invariant |
L |
11.966259698931 |
L(r)(E,1)/r! |
Ω |
0.35653350098273 |
Real period |
R |
2.0976744925957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
651d4 |
Quadratic twists by: 13 |