Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712do |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-197016215666688 = -1 · 214 · 312 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11+ -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7536,720736] |
[a1,a2,a3,a4,a6] |
Generators |
[65:711:1] |
Generators of the group modulo torsion |
j |
-3962770432/16495083 |
j-invariant |
L |
3.7784507697722 |
L(r)(E,1)/r! |
Ω |
0.49277546420021 |
Real period |
R |
3.8338463075461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999524292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712ca1 26928s1 35904dd1 |
Quadratic twists by: -4 8 -3 |