Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431m |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-1226796255867 = -1 · 3 · 73 · 137 · 19 |
Discriminant |
Eigenvalues |
-2 3- 2 7+ 1 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2422,-71132] |
[a1,a2,a3,a4,a6] |
Generators |
[709:18844:1] |
Generators of the group modulo torsion |
j |
-325660672/254163 |
j-invariant |
L |
4.3499274687056 |
L(r)(E,1)/r! |
Ω |
0.32919742886913 |
Real period |
R |
6.6068673198029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187k1 |
Quadratic twists by: 13 |