Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920l |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-2.176576171875E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185532240,-972893261088] |
[a1,a2,a3,a4,a6] |
j |
-344867227952667337693026722/106278133392333984375 |
j-invariant |
L |
2.4543581057121 |
L(r)(E,1)/r! |
Ω |
0.020452984214244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15960p2 127680fm2 95760bf2 |
Quadratic twists by: -4 8 -3 |