Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040h |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-67737600 = -1 · 211 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93,194] |
[a1,a2,a3,a4,a6] |
Generators |
[5:28:1] |
Generators of the group modulo torsion |
j |
1608714/1225 |
j-invariant |
L |
4.1609389800014 |
L(r)(E,1)/r! |
Ω |
1.2515192126526 |
Real period |
R |
0.41558880378496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2520c2 20160cy2 5040d2 25200j2 |
Quadratic twists by: -4 8 -3 5 |