Atkin-Lehner |
2- 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
53808ba |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
11840066515648512 = 214 · 33 · 194 · 593 |
Discriminant |
Eigenvalues |
2- 3- -4 0 4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1844560,-964845676] |
[a1,a2,a3,a4,a6] |
Generators |
[1954:53808:1] |
Generators of the group modulo torsion |
j |
169450306719111660241/2890641239172 |
j-invariant |
L |
5.8556974726288 |
L(r)(E,1)/r! |
Ω |
0.12954682780341 |
Real period |
R |
1.2555943351543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726d1 |
Quadratic twists by: -4 |