Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828i |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
574464 |
Modular degree for the optimal curve |
Δ |
29047388820681168 = 24 · 37 · 7 · 179 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-294780,-61053851] |
[a1,a2,a3,a4,a6] |
Generators |
[740566340435620:-26869452459494913:482628267584] |
Generators of the group modulo torsion |
j |
2048000/21 |
j-invariant |
L |
4.9938333104855 |
L(r)(E,1)/r! |
Ω |
0.20501894545804 |
Real period |
R |
24.357911410316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24276g1 72828u1 |
Quadratic twists by: -3 17 |