Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150bj |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
204761088000000000 = 220 · 33 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-217701,-32491952] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:2586:1] |
Generators of the group modulo torsion |
j |
584214157617173/104837677056 |
j-invariant |
L |
3.7786121506426 |
L(r)(E,1)/r! |
Ω |
0.22374656107685 |
Real period |
R |
2.8146519380804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450ex1 24150cb1 |
Quadratic twists by: -3 5 |