Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700v |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
913679939250000 = 24 · 312 · 56 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139833,20027088] |
[a1,a2,a3,a4,a6] |
Generators |
[243:675:1] |
Generators of the group modulo torsion |
j |
1209527744512000/3654719757 |
j-invariant |
L |
7.2630359791555 |
L(r)(E,1)/r! |
Ω |
0.49940736759564 |
Real period |
R |
0.40398082334135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588a1 |
Quadratic twists by: 5 |