Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650o |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1591383466968750000 = -1 · 24 · 316 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-147450,64426500] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:8995:1] |
Generators of the group modulo torsion |
j |
-181523395171061/814788335088 |
j-invariant |
L |
2.6064398463855 |
L(r)(E,1)/r! |
Ω |
0.23235742714512 |
Real period |
R |
2.8043431604595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200hh2 40950fb2 13650dd2 95550ez2 |
Quadratic twists by: -4 -3 5 -7 |