Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450u |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-960901378417968750 = -1 · 2 · 312 · 512 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-347067,-91661909] |
[a1,a2,a3,a4,a6] |
j |
-405897921250921/84358968750 |
j-invariant |
L |
0.77810538499166 |
L(r)(E,1)/r! |
Ω |
0.097263176924425 |
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 |
24150bp2 14490bq2 |
Quadratic twists by: -3 5 |