Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600by |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
217300320000 = 28 · 310 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 5 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3708,85212] |
[a1,a2,a3,a4,a6] |
Generators |
[234:243:8] |
Generators of the group modulo torsion |
j |
35248450000/1358127 |
j-invariant |
L |
4.2497404780135 |
L(r)(E,1)/r! |
Ω |
0.98915464867188 |
Real period |
R |
2.1481678743155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6900i1 110400jd1 82800fw1 27600cy1 |
Quadratic twists by: -4 8 -3 5 |