Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640bs |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21780234206438400 = 210 · 34 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224616,40429116] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:7056:1] |
Generators of the group modulo torsion |
j |
690862540036/12006225 |
j-invariant |
L |
4.6645386661605 |
L(r)(E,1)/r! |
Ω |
0.38249005521554 |
Real period |
R |
3.0487973530985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881019 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240a2 |
Quadratic twists by: -11 |