Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150fo |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4.5743474732678E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1577930,-1280591553] |
[a1,a2,a3,a4,a6] |
j |
-61032207990625/64254208678 |
j-invariant |
L |
3.1029903905308 |
L(r)(E,1)/r! |
Ω |
0.064645635762606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350d2 84150dp2 |
Quadratic twists by: -3 5 |