Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715q |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1776098437493625 = 37 · 53 · 710 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20286450,35173843375] |
[a1,a2,a3,a4,a6] |
Generators |
[32974:1158427:8] |
Generators of the group modulo torsion |
j |
10765299591712341649/20708625 |
j-invariant |
L |
4.8709038876125 |
L(r)(E,1)/r! |
Ω |
0.30542781440201 |
Real period |
R |
7.9739035836232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905q3 7245s3 |
Quadratic twists by: -3 -7 |