Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568da |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
-91500788767813632 = -1 · 212 · 38 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 -6 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98041,18778873] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2645:1] |
Generators of the group modulo torsion |
j |
-171879616/150903 |
j-invariant |
L |
4.8592913549668 |
L(r)(E,1)/r! |
Ω |
0.30998453011435 |
Real period |
R |
1.9594894729297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999315246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568dr1 50784r1 4416s1 |
Quadratic twists by: -4 8 -23 |