Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150co |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7322036132812500000 = 25 · 36 · 516 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-491667,25790741] |
[a1,a2,a3,a4,a6] |
j |
1153957554747369/642812500000 |
j-invariant |
L |
1.629500118292 |
L(r)(E,1)/r! |
Ω |
0.20368751098764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1.0000000186504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9350r2 16830ct2 |
Quadratic twists by: -3 5 |