Atkin-Lehner |
3+ 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
18615d |
Isogeny class |
Conductor |
18615 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.0266300866422E+19 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 6 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,40228,-154109619] |
[a1,a2,a3,a4,a6] |
Generators |
[18212:2448839:1] |
Generators of the group modulo torsion |
j |
7199331440084341559/10266300866422265625 |
j-invariant |
L |
4.8338077214218 |
L(r)(E,1)/r! |
Ω |
0.10638755904291 |
Real period |
R |
2.8397397713299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55845h2 93075o2 |
Quadratic twists by: -3 5 |