Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090y |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1952472734503861500 = -1 · 22 · 38 · 53 · 712 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2116674,1187736480] |
[a1,a2,a3,a4,a6] |
Generators |
[-651:48174:1] |
Generators of the group modulo torsion |
j |
-1438660185695750189089/2678289073393500 |
j-invariant |
L |
4.2139610250813 |
L(r)(E,1)/r! |
Ω |
0.26283379928271 |
Real period |
R |
2.0040996613551 |
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 |
9030w3 |
Quadratic twists by: -3 |