Atkin-Lehner |
2- 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290bf |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-50386069094400 = -1 · 222 · 33 · 52 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9128,481131] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:897:1] [-67:921:1] |
Generators of the group modulo torsion |
j |
-3114886573941507/1866150707200 |
j-invariant |
L |
11.439053803923 |
L(r)(E,1)/r! |
Ω |
0.58675524443523 |
Real period |
R |
0.44307826476086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43290d1 |
Quadratic twists by: -3 |