Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10830b |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-113560780800 = -1 · 222 · 3 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 2 3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5118,-144012] |
[a1,a2,a3,a4,a6] |
j |
-41081844659329/314572800 |
j-invariant |
L |
1.1283526736415 |
L(r)(E,1)/r! |
Ω |
0.28208816841038 |
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 |
86640df1 32490bx1 54150cl1 10830z1 |
Quadratic twists by: -4 -3 5 -19 |