Atkin-Lehner |
2+ 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18330o |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-19030755900 = -1 · 22 · 3 · 52 · 13 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7363,-243862] |
[a1,a2,a3,a4,a6] |
Generators |
[20298:542675:27] |
Generators of the group modulo torsion |
j |
-44137051979740201/19030755900 |
j-invariant |
L |
5.3509941101684 |
L(r)(E,1)/r! |
Ω |
0.2576924487823 |
Real period |
R |
5.1912601004162 |
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 |
54990bk1 91650bz1 |
Quadratic twists by: -3 5 |