Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24206j |
Isogeny class |
Conductor |
24206 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-18595242848 = -1 · 25 · 73 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 3 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-274,-6812] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2434:1] |
Generators of the group modulo torsion |
j |
-6634074439/54213536 |
j-invariant |
L |
8.4877285323224 |
L(r)(E,1)/r! |
Ω |
0.51632467227275 |
Real period |
R |
0.82193714421599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24206n1 |
Quadratic twists by: -7 |