Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10200g |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-69360000000 = -1 · 210 · 3 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,18012] |
[a1,a2,a3,a4,a6] |
j |
-7086244/4335 |
j-invariant |
L |
2.030579155651 |
L(r)(E,1)/r! |
Ω |
1.0152895778255 |
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 |
20400bh1 81600dt1 30600cd1 2040o1 |
Quadratic twists by: -4 8 -3 5 |