Atkin-Lehner |
2+ 3- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050ba |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-8209453300312500 = -1 · 22 · 310 · 57 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-81751,9990398] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:-3259:1] [-233:4166:1] |
Generators of the group modulo torsion |
j |
-3867009783331681/525405011220 |
j-invariant |
L |
8.4671831246772 |
L(r)(E,1)/r! |
Ω |
0.40126553078127 |
Real period |
R |
0.26376496596408 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010u2 |
Quadratic twists by: 5 |