Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850gg |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5815856419606406250 = -1 · 2 · 32 · 57 · 710 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,436687,-33515133] |
[a1,a2,a3,a4,a6] |
j |
5009866738631/3163773690 |
j-invariant |
L |
4.4097686922242 |
L(r)(E,1)/r! |
Ω |
0.13780527058475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170n4 11550bm4 |
Quadratic twists by: 5 -7 |