Atkin-Lehner |
2+ 3+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18690d |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-140604117787607040 = -1 · 220 · 316 · 5 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 0 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82778,20201748] |
[a1,a2,a3,a4,a6] |
j |
-62730203634956202409/140604117787607040 |
j-invariant |
L |
1.1606851874738 |
L(r)(E,1)/r! |
Ω |
0.29017129686845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56070bg1 93450cl1 |
Quadratic twists by: -3 5 |