Atkin-Lehner |
3- 5- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485t |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
817876053225 = 38 · 52 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3249,57280] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:332:1] |
Generators of the group modulo torsion |
j |
5203798902289/1121915025 |
j-invariant |
L |
8.7336395699947 |
L(r)(E,1)/r! |
Ω |
0.84336627523165 |
Real period |
R |
2.5889224558991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018336 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33495c2 |
Quadratic twists by: -3 |