Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18130d |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-5532836914062500 = -1 · 22 · 517 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 6 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25252,3238852] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1676:1] |
Generators of the group modulo torsion |
j |
36340265946968039/112915039062500 |
j-invariant |
L |
3.0926341374711 |
L(r)(E,1)/r! |
Ω |
0.30220955324168 |
Real period |
R |
5.116704790265 |
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 |
90650cd1 18130g1 |
Quadratic twists by: 5 -7 |