Atkin-Lehner |
2- 3- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
23634m |
Isogeny class |
Conductor |
23634 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
190567064340432 = 24 · 312 · 133 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1686785,-842791615] |
[a1,a2,a3,a4,a6] |
Generators |
[1701:33898:1] |
Generators of the group modulo torsion |
j |
728073347908550631625/261408867408 |
j-invariant |
L |
8.9904906534286 |
L(r)(E,1)/r! |
Ω |
0.13247522065647 |
Real period |
R |
2.8277271430074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7878b2 |
Quadratic twists by: -3 |