Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cr |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-162668068920557568 = -1 · 216 · 36 · 237 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136129,-27345695] |
[a1,a2,a3,a4,a6] |
Generators |
[19616589:1233816928:4913] |
Generators of the group modulo torsion |
j |
-28756228/16767 |
j-invariant |
L |
5.9454733436569 |
L(r)(E,1)/r! |
Ω |
0.12102834695743 |
Real period |
R |
12.281158701279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bn1 25392k1 4416v1 |
Quadratic twists by: -4 8 -23 |