Atkin-Lehner |
3- 5- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18285d |
Isogeny class |
Conductor |
18285 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
31541625 = 32 · 53 · 232 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-115,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] |
Generators of the group modulo torsion |
j |
168288035761/31541625 |
j-invariant |
L |
4.7564641371457 |
L(r)(E,1)/r! |
Ω |
1.4767287550713 |
Real period |
R |
1.0736487931656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54855d1 91425c1 |
Quadratic twists by: -3 5 |