Atkin-Lehner |
2+ 3- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550bh |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
109949114548224000 = 218 · 39 · 53 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-187386,-26853332] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:2121:1] |
Generators of the group modulo torsion |
j |
5821324240798026701/879592916385792 |
j-invariant |
L |
6.0536385988017 |
L(r)(E,1)/r! |
Ω |
0.23179013348829 |
Real period |
R |
1.4509386157863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74550cs1 |
Quadratic twists by: 5 |