Atkin-Lehner |
2+ 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008w |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
89785324468224 = 211 · 38 · 74 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120064,15966356] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:3402:1] [-322:4620:1] |
Generators of the group modulo torsion |
j |
93462157272218114/43840490463 |
j-invariant |
L |
11.998730142277 |
L(r)(E,1)/r! |
Ω |
0.59484299014988 |
Real period |
R |
1.2607034903739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998126 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42504m4 |
Quadratic twists by: -4 |