Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200ci |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-666650787840000000 = -1 · 220 · 37 · 57 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39008,-39408012] |
[a1,a2,a3,a4,a6] |
Generators |
[634:13824:1] |
Generators of the group modulo torsion |
j |
-102568953241/10416418560 |
j-invariant |
L |
7.5314939861329 |
L(r)(E,1)/r! |
Ω |
0.12716145247375 |
Real period |
R |
2.1152788271454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150p1 14640y1 |
Quadratic twists by: -4 5 |