Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25800y |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-1393200000000 = -1 · 210 · 34 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 1 1 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2792,412] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1800:1] |
Generators of the group modulo torsion |
j |
6015260/3483 |
j-invariant |
L |
5.2666055287415 |
L(r)(E,1)/r! |
Ω |
0.51171352144833 |
Real period |
R |
0.85767480370578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600bj1 77400q1 25800q1 |
Quadratic twists by: -4 -3 5 |