Atkin-Lehner |
2- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73036a |
Isogeny class |
Conductor |
73036 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-4316817904384 = -1 · 28 · 19 · 316 |
Discriminant |
Eigenvalues |
2- -2 -1 -3 -5 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20501,1127431] |
[a1,a2,a3,a4,a6] |
Generators |
[10:961:1] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
2.0901398680512 |
L(r)(E,1)/r! |
Ω |
0.78135712318597 |
Real period |
R |
1.3375061204376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76a1 |
Quadratic twists by: -31 |