Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fi |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
825953792400000000 = 210 · 310 · 58 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1189355,-497030853] |
[a1,a2,a3,a4,a6] |
j |
16334668434139489/72511718400 |
j-invariant |
L |
5.7842585813102 |
L(r)(E,1)/r! |
Ω |
0.14460646423663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28050k2 16830z2 |
Quadratic twists by: -3 5 |