Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48216l |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
510720 |
Modular degree for the optimal curve |
Δ |
-1384108565248862208 = -1 · 211 · 35 · 79 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-335568,93931020] |
[a1,a2,a3,a4,a6] |
Generators |
[10501741:131539814:24389] |
Generators of the group modulo torsion |
j |
-50565500750/16747803 |
j-invariant |
L |
5.1871235503917 |
L(r)(E,1)/r! |
Ω |
0.25519220791995 |
Real period |
R |
10.16316993503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432l1 48216s1 |
Quadratic twists by: -4 -7 |