Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25800s |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-445824000 = -1 · 210 · 34 · 53 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,1008] |
[a1,a2,a3,a4,a6] |
Generators |
[3:30:1] |
Generators of the group modulo torsion |
j |
-97556/3483 |
j-invariant |
L |
6.3094297686751 |
L(r)(E,1)/r! |
Ω |
1.3914250287483 |
Real period |
R |
1.1336273313897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51600s1 77400bq1 25800ba1 |
Quadratic twists by: -4 -3 5 |