Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bi |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-300175381757952000 = -1 · 227 · 311 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 -3 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159843,36053858] |
[a1,a2,a3,a4,a6] |
Generators |
[1807:75150:1] |
Generators of the group modulo torsion |
j |
-151257563987041/100528128000 |
j-invariant |
L |
6.5468105627857 |
L(r)(E,1)/r! |
Ω |
0.28338207914822 |
Real period |
R |
5.7756038965154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090d1 24240bd1 |
Quadratic twists by: -4 -3 |