Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150cu |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-8179380000000000000 = -1 · 214 · 37 · 513 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-644292,242145616] |
[a1,a2,a3,a4,a6] |
j |
-2596717791529849/718080000000 |
j-invariant |
L |
3.5407600419571 |
L(r)(E,1)/r! |
Ω |
0.22129750269428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050ca1 16830cw1 |
Quadratic twists by: -3 5 |