Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8664c |
Isogeny class |
Conductor |
8664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
486400 |
Modular degree for the optimal curve |
Δ |
-3.5560057078848E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 -3 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1490689,-2952847259] |
[a1,a2,a3,a4,a6] |
Generators |
[18865:2585034:1] |
Generators of the group modulo torsion |
j |
-4434684928/43046721 |
j-invariant |
L |
4.4159737534906 |
L(r)(E,1)/r! |
Ω |
0.059550047823512 |
Real period |
R |
4.6347294365092 |
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 |
17328k1 69312bi1 25992z1 8664m1 |
Quadratic twists by: -4 8 -3 -19 |