Atkin-Lehner |
5+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475k |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4809560546875 = -1 · 510 · 72 · 19 · 232 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,437,105492] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:109:1] [-13:319:1] |
Generators of the group modulo torsion |
j |
590589719/307811875 |
j-invariant |
L |
4.67712325811 |
L(r)(E,1)/r! |
Ω |
0.59966770174198 |
Real period |
R |
1.949881261107 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15295c2 |
Quadratic twists by: 5 |