Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bs |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
-3849141548531712 = -1 · 214 · 3 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 0 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129781,18198227] |
[a1,a2,a3,a4,a6] |
Generators |
[88306038:593884495:531441] |
Generators of the group modulo torsion |
j |
-188416/3 |
j-invariant |
L |
13.063401859091 |
L(r)(E,1)/r! |
Ω |
0.44232578064654 |
Real period |
R |
9.8444799805557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568cy1 6348d1 101568bu1 |
Quadratic twists by: -4 8 -23 |