Atkin-Lehner |
3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45825q |
Isogeny class |
Conductor |
45825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-1819939875 = -1 · 3 · 53 · 133 · 472 |
Discriminant |
Eigenvalues |
2 3- 5- 1 3 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-228,-2521] |
[a1,a2,a3,a4,a6] |
Generators |
[154:191:8] |
Generators of the group modulo torsion |
j |
-10532261888/14559519 |
j-invariant |
L |
15.877630793301 |
L(r)(E,1)/r! |
Ω |
0.58452712506369 |
Real period |
R |
2.2636005117799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45825g1 |
Quadratic twists by: 5 |