Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700d |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
15473250000 = 24 · 32 · 56 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57333,-5264838] |
[a1,a2,a3,a4,a6] |
Generators |
[-29800740:309419:216000] |
Generators of the group modulo torsion |
j |
83369132032000/61893 |
j-invariant |
L |
5.4175727950218 |
L(r)(E,1)/r! |
Ω |
0.30853026769197 |
Real period |
R |
8.7796455568442 |
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 |
3588f1 |
Quadratic twists by: 5 |