Atkin-Lehner |
2+ 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008t |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-778007735496972288 = -1 · 211 · 32 · 72 · 11 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,113696,-39751660] |
[a1,a2,a3,a4,a6] |
Generators |
[260:2730:1] [404:8502:1] |
Generators of the group modulo torsion |
j |
79364356169491006/379886589598131 |
j-invariant |
L |
11.923209773895 |
L(r)(E,1)/r! |
Ω |
0.14287351207687 |
Real period |
R |
20.863226501279 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999352 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42504n5 |
Quadratic twists by: -4 |