Atkin-Lehner |
2+ 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
65650h |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1315440 |
Modular degree for the optimal curve |
Δ |
-133881804584125000 = -1 · 23 · 56 · 139 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 4 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-488650,132445500] |
[a1,a2,a3,a4,a6] |
j |
-825845457115463329/8568435493384 |
j-invariant |
L |
2.9684354110568 |
L(r)(E,1)/r! |
Ω |
0.32982615695577 |
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 |
2626f1 |
Quadratic twists by: 5 |