Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700d |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
567517548000000 = 28 · 3 · 56 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57708,-5192088] |
[a1,a2,a3,a4,a6] |
Generators |
[-19195:19734:125] |
Generators of the group modulo torsion |
j |
5313483250000/141879387 |
j-invariant |
L |
5.4175727950218 |
L(r)(E,1)/r! |
Ω |
0.30853026769197 |
Real period |
R |
4.3898227784221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588f2 |
Quadratic twists by: 5 |