Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568ca |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5935104 |
Modular degree for the optimal curve |
Δ |
-2.7243792776654E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 0 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6602625,10283600673] |
[a1,a2,a3,a4,a6] |
Generators |
[3531633696:283426494129:493039] |
Generators of the group modulo torsion |
j |
-1550640289/1327104 |
j-invariant |
L |
7.2203319410614 |
L(r)(E,1)/r! |
Ω |
0.10853143664862 |
Real period |
R |
16.631890656179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568r1 25392ba1 101568cc1 |
Quadratic twists by: -4 8 -23 |