Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828n |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
15378029375654736 = 24 · 39 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149124,21346985] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:5780:1] |
Generators of the group modulo torsion |
j |
1302642688/54621 |
j-invariant |
L |
7.5733441306138 |
L(r)(E,1)/r! |
Ω |
0.3895025603179 |
Real period |
R |
3.2406051981914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24276b1 4284i1 |
Quadratic twists by: -3 17 |