Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850by |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-474840073125000 = -1 · 23 · 39 · 57 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2662,-1045969] |
[a1,a2,a3,a4,a6] |
Generators |
[95:227:1] |
Generators of the group modulo torsion |
j |
133511182631/30389764680 |
j-invariant |
L |
6.5571681829823 |
L(r)(E,1)/r! |
Ω |
0.24733831377503 |
Real period |
R |
1.47282932319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570h1 |
Quadratic twists by: 5 |