Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104u |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23632198799616 = 28 · 38 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45039,-3671570] |
[a1,a2,a3,a4,a6] |
Generators |
[22148:301455:64] |
Generators of the group modulo torsion |
j |
54140521715152/126630009 |
j-invariant |
L |
7.1792024430505 |
L(r)(E,1)/r! |
Ω |
0.32776562703944 |
Real period |
R |
5.4758658709046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24552o2 16368j2 |
Quadratic twists by: -4 -3 |