Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450bd |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5199079921875000 = 23 · 310 · 510 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-213417,37842741] |
[a1,a2,a3,a4,a6] |
Generators |
[159:2733:1] |
Generators of the group modulo torsion |
j |
94376601570889/456435000 |
j-invariant |
L |
4.3653867000916 |
L(r)(E,1)/r! |
Ω |
0.4326824457378 |
Real period |
R |
1.2611404574101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150cc2 14490bz2 |
Quadratic twists by: -3 5 |