Atkin-Lehner |
2+ 3- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378q |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
1746049695642 = 2 · 36 · 73 · 17 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17892,923454] |
[a1,a2,a3,a4,a6] |
j |
868933429890625/2395129898 |
j-invariant |
L |
1.6820924387995 |
L(r)(E,1)/r! |
Ω |
0.84104609437013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14042f2 |
Quadratic twists by: -3 |