Atkin-Lehner |
3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
41475o |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
501717890625 = 3 · 57 · 73 · 792 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3338,65667] |
[a1,a2,a3,a4,a6] |
Generators |
[51:144:1] |
Generators of the group modulo torsion |
j |
263251475929/32109945 |
j-invariant |
L |
3.5979169191303 |
L(r)(E,1)/r! |
Ω |
0.89810225598648 |
Real period |
R |
4.0061328152238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124425h1 8295b1 |
Quadratic twists by: -3 5 |