Atkin-Lehner |
2+ 3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182g |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-1503819702 = -1 · 2 · 33 · 73 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11- 0 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-94,-1906] |
[a1,a2,a3,a4,a6] |
Generators |
[22:71:1] |
Generators of the group modulo torsion |
j |
-90458382169/1503819702 |
j-invariant |
L |
6.4175590695949 |
L(r)(E,1)/r! |
Ω |
0.64835063526788 |
Real period |
R |
1.0998093933374 |
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 |
84546bj1 |
Quadratic twists by: -3 |