Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810dm |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
2456244000 = 25 · 35 · 53 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-340,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:50:1] |
Generators of the group modulo torsion |
j |
12042955801/6804000 |
j-invariant |
L |
12.585139950611 |
L(r)(E,1)/r! |
Ω |
1.1982394854555 |
Real period |
R |
0.14004034086958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810q1 |
Quadratic twists by: -19 |