Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830t |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
75954476757600 = 25 · 39 · 52 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-189893,-31799843] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:152:1] |
Generators of the group modulo torsion |
j |
38473096570521003/3858887200 |
j-invariant |
L |
7.2116685702523 |
L(r)(E,1)/r! |
Ω |
0.22870470975814 |
Real period |
R |
3.1532663135267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25830g2 129150m2 |
Quadratic twists by: -3 5 |