Atkin-Lehner |
2- 3+ 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354p |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-43819609109472 = -1 · 25 · 311 · 72 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 -3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20103,-1150755] |
[a1,a2,a3,a4,a6] |
j |
-898478481632208625/43819609109472 |
j-invariant |
L |
1.9990372180236 |
L(r)(E,1)/r! |
Ω |
0.19990372180236 |
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 |
55062h1 128478cw1 |
Quadratic twists by: -3 -7 |