Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400bj |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
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 |
[4930:30375:8] |
Generators of the group modulo torsion |
j |
739674007504/293625 |
j-invariant |
L |
5.3529999482559 |
L(r)(E,1)/r! |
Ω |
0.20960479853646 |
Real period |
R |
3.1923171361178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52200s1 34800y1 20880x1 |
Quadratic twists by: -4 -3 5 |