Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74052i |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-556426391507712 = -1 · 28 · 38 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11616,-1027532] |
[a1,a2,a3,a4,a6] |
j |
524288/1683 |
j-invariant |
L |
2.1196885639088 |
L(r)(E,1)/r! |
Ω |
0.26496107017987 |
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 |
24684m1 6732b1 |
Quadratic twists by: -3 -11 |