Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568co |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-52002816 = -1 · 215 · 3 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 -3 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,-351] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] |
Generators of the group modulo torsion |
j |
184/3 |
j-invariant |
L |
4.1805896884974 |
L(r)(E,1)/r! |
Ω |
0.97513667074614 |
Real period |
R |
1.0717958366344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568dn1 50784m1 101568cf1 |
Quadratic twists by: -4 8 -23 |