Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610ca |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
383007294150000000 = 27 · 3 · 58 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295500,-54308883] |
[a1,a2,a3,a4,a6] |
Generators |
[-363:2481:1] |
Generators of the group modulo torsion |
j |
591202341974089/79350000000 |
j-invariant |
L |
10.110333205493 |
L(r)(E,1)/r! |
Ω |
0.20658538167272 |
Real period |
R |
0.87393242746157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690a2 |
Quadratic twists by: 13 |