Atkin-Lehner |
5- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107065h |
Isogeny class |
Conductor |
107065 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2026818922239836375 = 53 · 78 · 19 · 236 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- -2 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-707610,-218687603] |
[a1,a2,a3,a4,a6] |
Generators |
[-556:1993:1] [-436:2863:1] |
Generators of the group modulo torsion |
j |
333056102626145809/17227676582375 |
j-invariant |
L |
5.0921257039012 |
L(r)(E,1)/r! |
Ω |
0.16513736916016 |
Real period |
R |
1.7130942182797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15295b2 |
Quadratic twists by: -7 |