Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410ct |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
192082065490022400 = 212 · 32 · 52 · 76 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2656255,1665943577] |
[a1,a2,a3,a4,a6] |
Generators |
[1022:-4867:1] |
Generators of the group modulo torsion |
j |
1169975873419524361/108425318400 |
j-invariant |
L |
10.252889756667 |
L(r)(E,1)/r! |
Ω |
0.30479789900151 |
Real period |
R |
1.4015967342971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76230t6 127050bf6 210b6 |
Quadratic twists by: -3 5 -11 |