Atkin-Lehner |
2+ 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450g |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-1964318125000000000 = -1 · 29 · 513 · 75 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-248651,82590198] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:11021:1] |
Generators of the group modulo torsion |
j |
-108810750530528929/125716360000000 |
j-invariant |
L |
2.9896549210915 |
L(r)(E,1)/r! |
Ω |
0.23790552746705 |
Real period |
R |
0.62832817570617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090k1 |
Quadratic twists by: 5 |