Atkin-Lehner |
2+ 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054d |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-1298307336192 = -1 · 211 · 37 · 173 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 2 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,198,-54860] |
[a1,a2,a3,a4,a6] |
Generators |
[527:11828:1] |
Generators of the group modulo torsion |
j |
1174241375/1780942848 |
j-invariant |
L |
4.1651713299908 |
L(r)(E,1)/r! |
Ω |
0.39957856144579 |
Real period |
R |
5.2119554599226 |
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 |
6018i1 |
Quadratic twists by: -3 |