Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568p |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
3784704 |
Modular degree for the optimal curve |
Δ |
-2.6681630004694E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6154033,-5930455441] |
[a1,a2,a3,a4,a6] |
Generators |
[98123:30726864:1] |
Generators of the group modulo torsion |
j |
-10627137250000/110008287 |
j-invariant |
L |
8.8392887267442 |
L(r)(E,1)/r! |
Ω |
0.047897363524682 |
Real period |
R |
6.5909448865345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568by1 12696a1 4416k1 |
Quadratic twists by: -4 8 -23 |