Atkin-Lehner |
3+ 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
18531a |
Isogeny class |
Conductor |
18531 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-40527297 = -1 · 39 · 29 · 71 |
Discriminant |
Eigenvalues |
1 3+ 2 -3 -4 -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96,-451] |
[a1,a2,a3,a4,a6] |
Generators |
[20:63:1] [28:121:1] |
Generators of the group modulo torsion |
j |
-5000211/2059 |
j-invariant |
L |
8.651212180985 |
L(r)(E,1)/r! |
Ω |
0.74713747639234 |
Real period |
R |
5.7895718354005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18531b1 |
Quadratic twists by: -3 |