Atkin-Lehner |
3+ 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
122475a |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
375003140625 = 32 · 56 · 232 · 712 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2050,19375] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:1975:8] |
Generators of the group modulo torsion |
j |
61023377953/24000201 |
j-invariant |
L |
5.9308141533141 |
L(r)(E,1)/r! |
Ω |
0.86681542435975 |
Real period |
R |
3.4210363937735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998760308 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4899d2 |
Quadratic twists by: 5 |