Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cf |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
459264 |
Modular degree for the optimal curve |
Δ |
-7698283097063424 = -1 · 215 · 3 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 3 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16223,4140385] |
[a1,a2,a3,a4,a6] |
Generators |
[-3165:21160:27] |
Generators of the group modulo torsion |
j |
184/3 |
j-invariant |
L |
7.4179271026728 |
L(r)(E,1)/r! |
Ω |
0.30984908726686 |
Real period |
R |
1.9950376442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999801183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568dk1 50784o1 101568co1 |
Quadratic twists by: -4 8 -23 |