Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568be |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
28422890688 = 26 · 3 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2292,-42222] |
[a1,a2,a3,a4,a6] |
Generators |
[828445:67446888:125] |
Generators of the group modulo torsion |
j |
140608/3 |
j-invariant |
L |
8.3056358988773 |
L(r)(E,1)/r! |
Ω |
0.69086587474294 |
Real period |
R |
12.022067101465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568k1 50784w3 192b1 |
Quadratic twists by: -4 8 -23 |