Atkin-Lehner |
5+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107065b |
Isogeny class |
Conductor |
107065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
289710074255 = 5 · 78 · 19 · 232 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24991,-1522494] |
[a1,a2,a3,a4,a6] |
Generators |
[-730:483:8] [214:1608:1] |
Generators of the group modulo torsion |
j |
14671937276641/2462495 |
j-invariant |
L |
4.9659929470915 |
L(r)(E,1)/r! |
Ω |
0.37971515379302 |
Real period |
R |
6.5391029291821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999996468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15295d2 |
Quadratic twists by: -7 |