Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700f |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
5295332981250000 = 24 · 36 · 58 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-452533,117270562] |
[a1,a2,a3,a4,a6] |
Generators |
[-774:1802:1] |
Generators of the group modulo torsion |
j |
40995428220534784/21181331925 |
j-invariant |
L |
5.9872809062774 |
L(r)(E,1)/r! |
Ω |
0.42408515922334 |
Real period |
R |
7.0590549722075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940g1 |
Quadratic twists by: 5 |