Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bj |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-34642273936785408 = -1 · 214 · 33 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 -2 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,64891,6323235] |
[a1,a2,a3,a4,a6] |
Generators |
[4342:286647:1] |
Generators of the group modulo torsion |
j |
23552/27 |
j-invariant |
L |
5.6396024504057 |
L(r)(E,1)/r! |
Ω |
0.24491018430466 |
Real period |
R |
7.6757423762188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568cn1 12696k1 101568y1 |
Quadratic twists by: -4 8 -23 |