Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cd |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-30081626947584 = -1 · 214 · 38 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 0 -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7759,18417] |
[a1,a2,a3,a4,a6] |
Generators |
[11:324:1] |
Generators of the group modulo torsion |
j |
11265584/6561 |
j-invariant |
L |
5.2939747418836 |
L(r)(E,1)/r! |
Ω |
0.39908075930536 |
Real period |
R |
1.6581777671409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568v1 25392z1 101568cb1 |
Quadratic twists by: -4 8 -23 |