Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728dx |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
114458738688 = 214 · 36 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108913,-13870993] |
[a1,a2,a3,a4,a6] |
Generators |
[401:2664:1] |
Generators of the group modulo torsion |
j |
8720611169506000/6986007 |
j-invariant |
L |
7.631357080737 |
L(r)(E,1)/r! |
Ω |
0.26280239154381 |
Real period |
R |
2.4198654344646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728m2 12432bd2 |
Quadratic twists by: -4 8 |