Atkin-Lehner |
3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21315t |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-1567305271875 = -1 · 3 · 55 · 78 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 5 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8150,286829] |
[a1,a2,a3,a4,a6] |
j |
-508934139904/13321875 |
j-invariant |
L |
8.4396137919459 |
L(r)(E,1)/r! |
Ω |
0.84396137919459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63945u1 106575k1 3045a1 |
Quadratic twists by: -3 5 -7 |