Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67431o |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
6083907962769 = 36 · 7 · 137 · 19 |
Discriminant |
Eigenvalues |
1 3- -2 7- -2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4567,4565] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1475:1] |
Generators of the group modulo torsion |
j |
2181825073/1260441 |
j-invariant |
L |
7.1078737220393 |
L(r)(E,1)/r! |
Ω |
0.64151717358152 |
Real period |
R |
3.6932623756483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187e1 |
Quadratic twists by: 13 |