Atkin-Lehner |
2- 3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550bq |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-554815200000000 = -1 · 211 · 3 · 58 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7213,1154531] |
[a1,a2,a3,a4,a6] |
Generators |
[175:-2388:1] |
Generators of the group modulo torsion |
j |
-2656166199049/35508172800 |
j-invariant |
L |
8.2851698547193 |
L(r)(E,1)/r! |
Ω |
0.43965867227045 |
Real period |
R |
0.28552348557885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110j1 |
Quadratic twists by: 5 |