Atkin-Lehner |
3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53475n |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
378259590234375 = 310 · 58 · 232 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18688,300617] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:857:1] [-88:1169:1] |
Generators of the group modulo torsion |
j |
46194855702841/24208613775 |
j-invariant |
L |
6.6492779850813 |
L(r)(E,1)/r! |
Ω |
0.47044353661288 |
Real period |
R |
0.70670308629941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10695c2 |
Quadratic twists by: 5 |