Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550bo |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.7286163330078E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7532442,-7952647284] |
[a1,a2,a3,a4,a6] |
Generators |
[-1595:2201:1] |
Generators of the group modulo torsion |
j |
4149383532674367961/1517578125000 |
j-invariant |
L |
4.4828519117417 |
L(r)(E,1)/r! |
Ω |
0.091132888431734 |
Real period |
R |
6.1487844689491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999999773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850cn4 23310bm4 |
Quadratic twists by: -3 5 |