Atkin-Lehner |
2+ 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550j |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-223032993750000 = -1 · 24 · 39 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6708,-688384] |
[a1,a2,a3,a4,a6] |
j |
108531333/725200 |
j-invariant |
L |
2.2328932172226 |
L(r)(E,1)/r! |
Ω |
0.27911168601961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550de1 23310bh1 |
Quadratic twists by: -3 5 |