Atkin-Lehner |
2- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73034n |
Isogeny class |
Conductor |
73034 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
419904 |
Modular degree for the optimal curve |
Δ |
8875718019584 = 29 · 133 · 534 |
Discriminant |
Eigenvalues |
2- -2 -3 -4 -3 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18317,-944879] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:95:1] [-74:119:1] |
Generators of the group modulo torsion |
j |
86136010273/1124864 |
j-invariant |
L |
7.6748243413152 |
L(r)(E,1)/r! |
Ω |
0.41070404914631 |
Real period |
R |
2.0763327313302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
73034f1 |
Quadratic twists by: 53 |