Atkin-Lehner |
2- 3+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18870o |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-80197500 = -1 · 22 · 3 · 54 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-281,-1981] |
[a1,a2,a3,a4,a6] |
j |
-2454365649169/80197500 |
j-invariant |
L |
1.1638059202537 |
L(r)(E,1)/r! |
Ω |
0.58190296012687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56610m1 94350u1 |
Quadratic twists by: -3 5 |