Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450dg |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
143777025000000 = 26 · 36 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33980,-2332353] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:305:1] |
Generators of the group modulo torsion |
j |
380920459249/12622400 |
j-invariant |
L |
8.6706355758019 |
L(r)(E,1)/r! |
Ω |
0.35235210984557 |
Real period |
R |
2.0506559897278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8050g1 14490ba1 |
Quadratic twists by: -3 5 |