Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650bx |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-3.2989571658547E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18764105,41746941897] |
[a1,a2,a3,a4,a6] |
Generators |
[7559:-579780:1] |
Generators of the group modulo torsion |
j |
-64144540676215729729/28962038218752000 |
j-invariant |
L |
7.6157608005938 |
L(r)(E,1)/r! |
Ω |
0.090049705532299 |
Real period |
R |
0.3203517281884 |
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 |
5550b1 3330k1 |
Quadratic twists by: -3 5 |