Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040a |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
-65429441280 = -1 · 28 · 39 · 5 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-638041,-195952235] |
[a1,a2,a3,a4,a6] |
Generators |
[1355522400084:27765928106077:1194389981] |
Generators of the group modulo torsion |
j |
-112209645049646377984/255583755 |
j-invariant |
L |
3.4352197211616 |
L(r)(E,1)/r! |
Ω |
0.084461221006312 |
Real period |
R |
20.336076605528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44520h1 |
Quadratic twists by: -4 |