Atkin-Lehner |
2+ 3- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330j |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1224676260 = 22 · 310 · 5 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80637120,278728924716] |
[a1,a2,a3,a4,a6] |
Generators |
[41550:-11793:8] |
Generators of the group modulo torsion |
j |
79542861753182056250526721/1679940 |
j-invariant |
L |
3.0589556209167 |
L(r)(E,1)/r! |
Ω |
0.3632646600978 |
Real period |
R |
4.2103677481852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110bc4 |
Quadratic twists by: -3 |