Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700w |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
655931250000 = 24 · 33 · 58 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4633,-116512] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:75:1] |
Generators of the group modulo torsion |
j |
44001181696/2623725 |
j-invariant |
L |
9.5632427442531 |
L(r)(E,1)/r! |
Ω |
0.58082080582915 |
Real period |
R |
0.91472491742109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940c1 |
Quadratic twists by: 5 |