Atkin-Lehner |
2- 3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
72048z |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-797731321721204736 = -1 · 212 · 36 · 193 · 794 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -1 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-534757,156352019] |
[a1,a2,a3,a4,a6] |
Generators |
[-706:13509:1] |
Generators of the group modulo torsion |
j |
-4128896637887131648/194758623467091 |
j-invariant |
L |
7.5623795841757 |
L(r)(E,1)/r! |
Ω |
0.28009543110775 |
Real period |
R |
0.37499022873648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4503b1 |
Quadratic twists by: -4 |