Atkin-Lehner |
2- 3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16926ba |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-5852062944 = -1 · 25 · 33 · 75 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 5 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1166,15275] |
[a1,a2,a3,a4,a6] |
Generators |
[5:95:1] |
Generators of the group modulo torsion |
j |
-175324513418209/5852062944 |
j-invariant |
L |
6.4941934683397 |
L(r)(E,1)/r! |
Ω |
1.340825513736 |
Real period |
R |
0.19373716868631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50778h1 118482cz1 |
Quadratic twists by: -3 -7 |