Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900bq |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-8043750000 = -1 · 24 · 32 · 58 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1958,-34287] |
[a1,a2,a3,a4,a6] |
Generators |
[58:225:1] |
Generators of the group modulo torsion |
j |
-132893440/1287 |
j-invariant |
L |
8.2154013268168 |
L(r)(E,1)/r! |
Ω |
0.35863038599291 |
Real period |
R |
1.2726506248478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700bm1 42900i1 |
Quadratic twists by: -3 5 |