Atkin-Lehner |
2+ 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008t |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
6743321251881984 = 210 · 34 · 74 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80344,-7851484] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:420:1] [-184:858:1] |
Generators of the group modulo torsion |
j |
56013087225531748/6585274660041 |
j-invariant |
L |
11.923209773895 |
L(r)(E,1)/r! |
Ω |
0.28574702415375 |
Real period |
R |
5.2158066253196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999352 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
42504n3 |
Quadratic twists by: -4 |