Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200s |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
856210500000000 = 28 · 310 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-269175,53734250] |
[a1,a2,a3,a4,a6] |
Generators |
[290:250:1] |
Generators of the group modulo torsion |
j |
739674007504/293625 |
j-invariant |
L |
7.1182197619265 |
L(r)(E,1)/r! |
Ω |
0.49169177584221 |
Real period |
R |
1.8096244719892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400bj1 17400w1 10440ba1 |
Quadratic twists by: -4 -3 5 |