Atkin-Lehner |
2+ 3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16926l |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
34285286101248 = 28 · 32 · 75 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8150,-32556] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:327:1] |
Generators of the group modulo torsion |
j |
59879725069515625/34285286101248 |
j-invariant |
L |
3.2847961728225 |
L(r)(E,1)/r! |
Ω |
0.54480397179889 |
Real period |
R |
0.30146587973436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778bu1 118482bh1 |
Quadratic twists by: -3 -7 |