Atkin-Lehner |
2+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186n |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2160072860309056 = -1 · 26 · 72 · 114 · 196 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,26375,-1508388] |
[a1,a2,a3,a4,a6] |
Generators |
[52:40:1] [451:-10334:1] |
Generators of the group modulo torsion |
j |
138597069064487/147535882816 |
j-invariant |
L |
3.8801273824006 |
L(r)(E,1)/r! |
Ω |
0.25071936551113 |
Real period |
R |
0.64483241626372 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32186r2 |
Quadratic twists by: -11 |