Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80724m |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
446400 |
Modular degree for the optimal curve |
Δ |
-32095995520979712 = -1 · 28 · 3 · 72 · 318 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79443,-110337] |
[a1,a2,a3,a4,a6] |
Generators |
[175854:14206463:27] |
Generators of the group modulo torsion |
j |
253952/147 |
j-invariant |
L |
8.490420585305 |
L(r)(E,1)/r! |
Ω |
0.22040723118745 |
Real period |
R |
6.4202525929635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80724d1 |
Quadratic twists by: -31 |