Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720ch |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-54031568716431360 = -1 · 226 · 313 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 -4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70347,13290874] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:2048:1] |
Generators of the group modulo torsion |
j |
-12893563987849/18095063040 |
j-invariant |
L |
6.1451193652487 |
L(r)(E,1)/r! |
Ω |
0.31892577633414 |
Real period |
R |
2.4085225395379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090bb1 24240bf1 |
Quadratic twists by: -4 -3 |