Atkin-Lehner |
2+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670f |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1849536 |
Modular degree for the optimal curve |
Δ |
-5.8367164548992E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -5 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,196037,366132317] |
[a1,a2,a3,a4,a6] |
Generators |
[1171:46352:1] |
Generators of the group modulo torsion |
j |
78567733187/5504000000 |
j-invariant |
L |
3.061700985875 |
L(r)(E,1)/r! |
Ω |
0.15102172395084 |
Real period |
R |
5.0683122047259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72670x1 |
Quadratic twists by: 13 |