Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800p |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
17469056160000000 = 211 · 310 · 57 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92408,-8775312] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:1350:1] |
Generators of the group modulo torsion |
j |
2727138195938/545908005 |
j-invariant |
L |
6.9205273885204 |
L(r)(E,1)/r! |
Ω |
0.2776596804688 |
Real period |
R |
1.2462247627808 |
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 |
51600e2 77400bm2 5160g2 |
Quadratic twists by: -4 -3 5 |