Atkin-Lehner |
2+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73034h |
Isogeny class |
Conductor |
73034 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
549504 |
Modular degree for the optimal curve |
Δ |
1618751950695386 = 2 · 13 · 538 |
Discriminant |
Eigenvalues |
2+ -2 3 2 3 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89947,10193508] |
[a1,a2,a3,a4,a6] |
Generators |
[151748816270838470:1384548387073542794:536277935781125] |
Generators of the group modulo torsion |
j |
1292617/26 |
j-invariant |
L |
4.4533103443316 |
L(r)(E,1)/r! |
Ω |
0.47438937318895 |
Real period |
R |
28.162374176273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
73034l1 |
Quadratic twists by: 53 |