Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440bg |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20165847609600 = 28 · 312 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6807,6806] |
[a1,a2,a3,a4,a6] |
j |
186906097744/108056025 |
j-invariant |
L |
2.3191224414734 |
L(r)(E,1)/r! |
Ω |
0.57978061070143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720t2 18480a2 |
Quadratic twists by: -4 -3 |