Atkin-Lehner |
2- 3+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33456o |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-13461895301566464 = -1 · 212 · 34 · 176 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60232,7990960] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:-2890:1] [-23:3060:1] |
Generators of the group modulo torsion |
j |
-5900011075468873/3286595532609 |
j-invariant |
L |
7.4403040581697 |
L(r)(E,1)/r! |
Ω |
0.36920617973547 |
Real period |
R |
1.679347129631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2091b2 100368bo2 |
Quadratic twists by: -4 -3 |