Atkin-Lehner |
3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
118815c |
Isogeny class |
Conductor |
118815 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1747199851034765625 = -1 · 32 · 58 · 896 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,277070,-29865475] |
[a1,a2,a3,a4,a6] |
Generators |
[5555:413075:1] |
Generators of the group modulo torsion |
j |
4733169839/3515625 |
j-invariant |
L |
5.2759177670262 |
L(r)(E,1)/r! |
Ω |
0.1484636255603 |
Real period |
R |
2.2210481511496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999810599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15a4 |
Quadratic twists by: 89 |