Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gq |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
50155929600000000 = 220 · 3 · 58 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110465,9179937] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:4800:1] |
Generators of the group modulo torsion |
j |
568671957006049/191329687500 |
j-invariant |
L |
6.6019834849454 |
L(r)(E,1)/r! |
Ω |
0.32811170970025 |
Real period |
R |
1.2575716087972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999315632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240en3 28560dd3 |
Quadratic twists by: -4 8 |