Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550dd |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-6088123981800 = -1 · 23 · 33 · 52 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-642140,198218567] |
[a1,a2,a3,a4,a6] |
Generators |
[435:-1247:1] |
Generators of the group modulo torsion |
j |
-43381890754189517115/9019442936 |
j-invariant |
L |
11.731526742419 |
L(r)(E,1)/r! |
Ω |
0.59841000839731 |
Real period |
R |
0.23338685880563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550d1 116550u1 |
Quadratic twists by: -3 5 |