Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828g |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-1968050245035780864 = -1 · 28 · 33 · 74 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,235824,51114852] |
[a1,a2,a3,a4,a6] |
Generators |
[3468:206346:1] |
Generators of the group modulo torsion |
j |
1769472/2401 |
j-invariant |
L |
8.9155533889009 |
L(r)(E,1)/r! |
Ω |
0.17707557562026 |
Real period |
R |
1.0489345860671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72828h1 72828d1 |
Quadratic twists by: -3 17 |