Atkin-Lehner |
2+ 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430m |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2530361103052005000 = 23 · 38 · 54 · 174 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2212074,1264570380] |
[a1,a2,a3,a4,a6] |
Generators |
[961:4577:1] |
Generators of the group modulo torsion |
j |
1642083540441698851489/3471002884845000 |
j-invariant |
L |
4.5789724706619 |
L(r)(E,1)/r! |
Ω |
0.25745395035477 |
Real period |
R |
2.2231997529745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15810s3 |
Quadratic twists by: -3 |