Atkin-Lehner |
2+ 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450a |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-2107812500000 = -1 · 25 · 511 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 0 3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1942,77716] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:318:1] |
Generators of the group modulo torsion |
j |
-51853389489/134900000 |
j-invariant |
L |
1.849527144352 |
L(r)(E,1)/r! |
Ω |
0.72897236939991 |
Real period |
R |
0.63429260870159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13490c1 |
Quadratic twists by: 5 |