Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
76296h |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
2121523159016448 = 210 · 33 · 11 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41712,2402928] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:336:1] |
Generators of the group modulo torsion |
j |
324730948/85833 |
j-invariant |
L |
10.543314967689 |
L(r)(E,1)/r! |
Ω |
0.43352459123681 |
Real period |
R |
4.0533321451455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4488a1 |
Quadratic twists by: 17 |