Atkin-Lehner |
2- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33550t |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-1547703437500000 = -1 · 25 · 510 · 113 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23945,1238447] |
[a1,a2,a3,a4,a6] |
Generators |
[23:1330:1] |
Generators of the group modulo torsion |
j |
155483817975/158484832 |
j-invariant |
L |
7.4889534448127 |
L(r)(E,1)/r! |
Ω |
0.3142714261883 |
Real period |
R |
0.79431905255104 |
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 |
33550n1 |
Quadratic twists by: 5 |