Atkin-Lehner |
2- 5- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
112240m |
Isogeny class |
Conductor |
112240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33984 |
Modular degree for the optimal curve |
Δ |
-109546240 = -1 · 28 · 5 · 23 · 612 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -6 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,75,463] |
[a1,a2,a3,a4,a6] |
Generators |
[23:122:1] |
Generators of the group modulo torsion |
j |
179830784/427915 |
j-invariant |
L |
3.3759978721569 |
L(r)(E,1)/r! |
Ω |
1.3087707097184 |
Real period |
R |
0.64487954628049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28060c1 |
Quadratic twists by: -4 |