Atkin-Lehner |
2- 3- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
18690p |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-1345680000 = -1 · 27 · 33 · 54 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-235,2225] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:65:1] |
Generators of the group modulo torsion |
j |
-1435630901041/1345680000 |
j-invariant |
L |
8.9490170581523 |
L(r)(E,1)/r! |
Ω |
1.3902756108627 |
Real period |
R |
0.07662935070324 |
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 |
56070f1 93450j1 |
Quadratic twists by: -3 5 |