Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430et |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
756 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
4830908040000000 = 29 · 37 · 57 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-148847,21886071] |
[a1,a2,a3,a4,a6] |
Generators |
[191:534:1] |
Generators of the group modulo torsion |
j |
208363453061449/2760000000 |
j-invariant |
L |
11.976289231865 |
L(r)(E,1)/r! |
Ω |
0.43445839241386 |
Real period |
R |
0.036462990828059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33810a1 101430ej1 |
Quadratic twists by: -3 -7 |