Atkin-Lehner |
2- 3+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
67938q |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-7065552 = -1 · 24 · 3 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -3 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23,125] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [5:10:1] |
Generators of the group modulo torsion |
j |
-614125/3216 |
j-invariant |
L |
11.653218441157 |
L(r)(E,1)/r! |
Ω |
2.0438204061388 |
Real period |
R |
0.71271052034467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67938f1 |
Quadratic twists by: 13 |