Atkin-Lehner |
2+ 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950j |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
558720 |
Modular degree for the optimal curve |
Δ |
-57154744257812500 = -1 · 22 · 510 · 13 · 1034 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,92799,3737048] |
[a1,a2,a3,a4,a6] |
Generators |
[413:10402:1] [1:1956:1] |
Generators of the group modulo torsion |
j |
9050243934575/5852645812 |
j-invariant |
L |
4.9555600726511 |
L(r)(E,1)/r! |
Ω |
0.22004983665818 |
Real period |
R |
2.8150214446447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66950bi1 |
Quadratic twists by: 5 |