Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090y |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
14867021037093750 = 2 · 37 · 56 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33881904,75918616578] |
[a1,a2,a3,a4,a6] |
Generators |
[-3143:390614:1] |
Generators of the group modulo torsion |
j |
5900646723211921366119169/20393718843750 |
j-invariant |
L |
4.2139610250813 |
L(r)(E,1)/r! |
Ω |
0.26283379928271 |
Real period |
R |
4.0081993227102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
9030w4 |
Quadratic twists by: -3 |