Atkin-Lehner |
2+ 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360r |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
228357443129760000 = 28 · 38 · 54 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-314247,-63786886] |
[a1,a2,a3,a4,a6] |
Generators |
[-365:1512:1] [-337:1960:1] |
Generators of the group modulo torsion |
j |
18389488072027984/1223623130625 |
j-invariant |
L |
12.418476791356 |
L(r)(E,1)/r! |
Ω |
0.20248537438188 |
Real period |
R |
2.5554267046014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997388 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36120t2 |
Quadratic twists by: -3 |