Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240x |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
154335911206400 = 29 · 52 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93443,10978058] |
[a1,a2,a3,a4,a6] |
Generators |
[154:490:1] |
Generators of the group modulo torsion |
j |
1497979362888/2562175 |
j-invariant |
L |
3.2579193596148 |
L(r)(E,1)/r! |
Ω |
0.57709037377765 |
Real period |
R |
1.4113557878417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240h4 12320j2 |
Quadratic twists by: -4 -7 |