Atkin-Lehner |
2+ 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450d |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-72409175781250 = -1 · 2 · 59 · 73 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11- 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2475,-405625] |
[a1,a2,a3,a4,a6] |
Generators |
[65:155:1] |
Generators of the group modulo torsion |
j |
107239576751/4634187250 |
j-invariant |
L |
7.0360942348017 |
L(r)(E,1)/r! |
Ω |
0.2948699107303 |
Real period |
R |
1.9884741198785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090m2 |
Quadratic twists by: 5 |