Atkin-Lehner |
2+ 3- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090u |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
254377556156250 = 2 · 312 · 56 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1469799,-685491557] |
[a1,a2,a3,a4,a6] |
Generators |
[1557:27484:1] |
Generators of the group modulo torsion |
j |
481692842004375839089/348940406250 |
j-invariant |
L |
6.8433606586209 |
L(r)(E,1)/r! |
Ω |
0.13711503309199 |
Real period |
R |
4.1591358857925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27030j2 |
Quadratic twists by: -3 |