Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450i |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6377538037500000 = 25 · 39 · 58 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5646417,5165663741] |
[a1,a2,a3,a4,a6] |
Generators |
[1379:-252:1] |
Generators of the group modulo torsion |
j |
64733826967442667/20736800 |
j-invariant |
L |
3.5678049463835 |
L(r)(E,1)/r! |
Ω |
0.34076829727501 |
Real period |
R |
1.30873564783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cq2 14490bh2 |
Quadratic twists by: -3 5 |