Atkin-Lehner |
3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
111825p |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.4751469196581E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13935380,-7706647128] |
[a1,a2,a3,a4,a6] |
Generators |
[-6659910072:262607782065:2515456] |
Generators of the group modulo torsion |
j |
26274386017047273841/12950535371484375 |
j-invariant |
L |
4.7032306125433 |
L(r)(E,1)/r! |
Ω |
0.082175685226109 |
Real period |
R |
14.308461827927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37275a3 22365f3 |
Quadratic twists by: -3 5 |