Atkin-Lehner |
3- 5+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78255a |
Isogeny class |
Conductor |
78255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
111718794375 = 37 · 54 · 37 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5108,140856] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:456:1] |
Generators of the group modulo torsion |
j |
20214785558521/153249375 |
j-invariant |
L |
3.6200723913586 |
L(r)(E,1)/r! |
Ω |
1.0596485926356 |
Real period |
R |
1.708147595157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26085a2 |
Quadratic twists by: -3 |