Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280bp |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-158515200 = -1 · 214 · 32 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 5 3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165,963] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
-30505984/9675 |
j-invariant |
L |
7.5883839766784 |
L(r)(E,1)/r! |
Ω |
1.7213822936836 |
Real period |
R |
1.102077093004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280cr1 5160b1 123840bs1 |
Quadratic twists by: -4 8 -3 |