Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fd |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5.2108691794995E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3888802120,57875428019747] |
[a1,a2,a3,a4,a6] |
j |
570983676137286216962798159/457469996554140806256680 |
j-invariant |
L |
4.6781114732811 |
L(r)(E,1)/r! |
Ω |
0.015593704830784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350f2 16830p2 |
Quadratic twists by: -3 5 |