Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10164s |
Isogeny class |
Conductor |
10164 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-58929205104 = -1 · 24 · 33 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,686,-9187] |
[a1,a2,a3,a4,a6] |
j |
1257728/2079 |
j-invariant |
L |
3.5124685172787 |
L(r)(E,1)/r! |
Ω |
0.58541141954646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40656bv1 30492u1 71148be1 924g1 |
Quadratic twists by: -4 -3 -7 -11 |