Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050bc |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
62832 |
Modular degree for the optimal curve |
Δ |
-972296110080000 = -1 · 217 · 311 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -1 7 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10488,-1560519] |
[a1,a2,a3,a4,a6] |
j |
-204138217783825/1555673776128 |
j-invariant |
L |
3.5423232199937 |
L(r)(E,1)/r! |
Ω |
0.20837195411728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400dj1 30150bg1 10050i1 |
Quadratic twists by: -4 -3 5 |