Atkin-Lehner |
2+ 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920i |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-41957760000 = -1 · 210 · 3 · 54 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2720,56400] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:320:1] [22:-82:1] |
Generators of the group modulo torsion |
j |
-2174153109124/40974375 |
j-invariant |
L |
9.8883500688614 |
L(r)(E,1)/r! |
Ω |
1.1447975382807 |
Real period |
R |
1.0797051159401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960e1 |
Quadratic twists by: -4 |