Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240x |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1811794600000000 = -1 · 29 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30037,423262] |
[a1,a2,a3,a4,a6] |
Generators |
[1974:46844:27] |
Generators of the group modulo torsion |
j |
49754821752/30078125 |
j-invariant |
L |
3.2579193596148 |
L(r)(E,1)/r! |
Ω |
0.28854518688882 |
Real period |
R |
5.6454231513668 |
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 |
86240h2 12320j4 |
Quadratic twists by: -4 -7 |