Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360by |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
-77802596162560 = -1 · 210 · 5 · 17 · 197 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 -2 5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13281,-721639] |
[a1,a2,a3,a4,a6] |
Generators |
[23739224434545208600008148803175064:776194364513304215927042256193517445:21920818555378311979262320278901] |
Generators of the group modulo torsion |
j |
-253016466094336/75979097815 |
j-invariant |
L |
12.078664448966 |
L(r)(E,1)/r! |
Ω |
0.21897879691451 |
Real period |
R |
55.159059320622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360r1 25840o1 |
Quadratic twists by: -4 8 |