Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cw |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
-415707287241424896 = -1 · 216 · 34 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 0 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16223,31005121] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:4761:1] |
Generators of the group modulo torsion |
j |
92/81 |
j-invariant |
L |
2.6728155412391 |
L(r)(E,1)/r! |
Ω |
0.23331474038654 |
Real period |
R |
0.95465305942465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998975333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568bq1 25392r1 101568cv1 |
Quadratic twists by: -4 8 -23 |