Atkin-Lehner |
2+ 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008s |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
132389419008 = 211 · 3 · 7 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10032,383028] |
[a1,a2,a3,a4,a6] |
Generators |
[284:4530:1] |
Generators of the group modulo torsion |
j |
54525495445346/64643271 |
j-invariant |
L |
10.179054154812 |
L(r)(E,1)/r! |
Ω |
1.0359885265188 |
Real period |
R |
4.9127253311233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504o4 |
Quadratic twists by: -4 |