Atkin-Lehner |
3- 5+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
27255f |
Isogeny class |
Conductor |
27255 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-406713318712875 = -1 · 34 · 53 · 235 · 792 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 -4 0 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-44896,3772960] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:-2726:1] [-1334:20627:8] |
Generators of the group modulo torsion |
j |
-10008208248523853824/406713318712875 |
j-invariant |
L |
4.3877812896535 |
L(r)(E,1)/r! |
Ω |
0.52806161865221 |
Real period |
R |
0.20773055334212 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81765k1 |
Quadratic twists by: -3 |