Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032cs |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
721058794757102592 = 210 · 38 · 77 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-645771,-195517546] |
[a1,a2,a3,a4,a6] |
Generators |
[-461:2052:1] |
Generators of the group modulo torsion |
j |
339112345828/8210223 |
j-invariant |
L |
5.7898943936073 |
L(r)(E,1)/r! |
Ω |
0.16866334064911 |
Real period |
R |
1.0727535640431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344i3 9576z4 |
Quadratic twists by: -3 -7 |