Atkin-Lehner |
3- 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025ba |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
115787511328125 = 3 · 58 · 7 · 132 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11830151,15660520073] |
[a1,a2,a3,a4,a6] |
Generators |
[11357:1154571:1] |
Generators of the group modulo torsion |
j |
11718566727893508214369/7410400725 |
j-invariant |
L |
9.8984082632884 |
L(r)(E,1)/r! |
Ω |
0.36392610268371 |
Real period |
R |
3.3998688773835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205c4 |
Quadratic twists by: 5 |