Atkin-Lehner |
2+ 3- 5- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
73530s |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
21012480 |
Modular degree for the optimal curve |
Δ |
1.016521615402E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254363274,1561444142580] |
[a1,a2,a3,a4,a6] |
Generators |
[9081:14697:1] |
Generators of the group modulo torsion |
j |
2496660002148802349535638689/139440550809600000000 |
j-invariant |
L |
3.1063179910682 |
L(r)(E,1)/r! |
Ω |
0.10048194848899 |
Real period |
R |
0.48303421000406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510s1 |
Quadratic twists by: -3 |