Atkin-Lehner |
2- 3- 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
126540l |
Isogeny class |
Conductor |
126540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-5903850240 = -1 · 28 · 38 · 5 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 -4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-3836] |
[a1,a2,a3,a4,a6] |
Generators |
[20:18:1] [44:270:1] |
Generators of the group modulo torsion |
j |
-4194304/31635 |
j-invariant |
L |
12.478884572752 |
L(r)(E,1)/r! |
Ω |
0.56679845504226 |
Real period |
R |
1.8347033921424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42180e1 |
Quadratic twists by: -3 |