Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200a |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-40480000000 = -1 · 211 · 57 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 11+ 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,47312] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:300:1] |
Generators of the group modulo torsion |
j |
-48275138/1265 |
j-invariant |
L |
11.643566807798 |
L(r)(E,1)/r! |
Ω |
1.1445731678764 |
Real period |
R |
2.543211552112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50600d1 20240c1 |
Quadratic twists by: -4 5 |