Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4700a |
Isogeny class |
Conductor |
4700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5737304687500000000 = 28 · 521 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 3 7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-787908,-243013688] |
[a1,a2,a3,a4,a6] |
j |
13523552840818384/1434326171875 |
j-invariant |
L |
1.9361207793051 |
L(r)(E,1)/r! |
Ω |
0.16134339827542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18800z2 75200b2 42300u2 940c2 |
Quadratic twists by: -4 8 -3 5 |