Atkin-Lehner |
3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67431d |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
2629809 = 32 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49,86] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10:1] [-7:15:1] |
Generators of the group modulo torsion |
j |
5929741/1197 |
j-invariant |
L |
4.6214090393844 |
L(r)(E,1)/r! |
Ω |
2.4269270424174 |
Real period |
R |
1.9042224832462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67431g1 |
Quadratic twists by: 13 |