Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450v |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
66366838687500 = 22 · 37 · 56 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-245592,-46782684] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:174:1] |
Generators of the group modulo torsion |
j |
143820170742457/5826444 |
j-invariant |
L |
4.7812344958389 |
L(r)(E,1)/r! |
Ω |
0.21446033176803 |
Real period |
R |
2.7867825535655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150bw4 3978j3 |
Quadratic twists by: -3 5 |