Atkin-Lehner |
2+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10010k |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8.7353949662013E+28 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1232875439,-8683800943507] |
[a1,a2,a3,a4,a6] |
Generators |
[-682988097:-100553397878:35937] |
Generators of the group modulo torsion |
j |
207243689187073660850837150874441/87353949662012781559513782080 |
j-invariant |
L |
3.3947944707437 |
L(r)(E,1)/r! |
Ω |
0.026455576805856 |
Real period |
R |
16.040070188492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080bn3 90090dh3 50050bi3 70070d3 |
Quadratic twists by: -4 -3 5 -7 |