Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cc |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-184035053666304 = -1 · 232 · 34 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 0 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12481,-840863] |
[a1,a2,a3,a4,a6] |
Generators |
[592:14103:1] |
Generators of the group modulo torsion |
j |
-1550640289/1327104 |
j-invariant |
L |
4.7062434165439 |
L(r)(E,1)/r! |
Ω |
0.21799308005907 |
Real period |
R |
5.3972394645452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568u1 25392y1 101568ca1 |
Quadratic twists by: -4 8 -23 |