Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072bs |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-290348579272752 = -1 · 24 · 37 · 74 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23754,-1630267] |
[a1,a2,a3,a4,a6] |
j |
-127082707105792/24892710843 |
j-invariant |
L |
3.0442980509147 |
L(r)(E,1)/r! |
Ω |
0.19026862840119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024e1 |
Quadratic twists by: -3 |