Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192o |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
900388389888 = 210 · 38 · 133 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231581379,-1356449304238] |
[a1,a2,a3,a4,a6] |
j |
1839954714967756368993028/1206153 |
j-invariant |
L |
1.8576539830877 |
L(r)(E,1)/r! |
Ω |
0.038701129997272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57096q4 38064e4 |
Quadratic twists by: -4 -3 |