Atkin-Lehner |
2- 3+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18870n |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-134701004160000 = -1 · 210 · 39 · 54 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10639,-360817] |
[a1,a2,a3,a4,a6] |
j |
133175270470841711/134701004160000 |
j-invariant |
L |
3.1719411744943 |
L(r)(E,1)/r! |
Ω |
0.31719411744943 |
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 |
56610l1 94350w1 |
Quadratic twists by: -3 5 |