Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600be |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10969344000000 = 214 · 34 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6808,-143888] |
[a1,a2,a3,a4,a6] |
j |
545338513/171396 |
j-invariant |
L |
2.154248833985 |
L(r)(E,1)/r! |
Ω |
0.5385622084962 |
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 |
3450i2 110400hm2 82800dq2 1104h2 |
Quadratic twists by: -4 8 -3 5 |