Atkin-Lehner |
2+ 3- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050w |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
417083437500000 = 25 · 3 · 510 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10764501,-13594636352] |
[a1,a2,a3,a4,a6] |
j |
8828467760910671104321/26693340000 |
j-invariant |
L |
3.0005689316883 |
L(r)(E,1)/r! |
Ω |
0.083349132488721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010t2 |
Quadratic twists by: 5 |