Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568r |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
48 |
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 |
[15927963:240513024:4913] |
Generators of the group modulo torsion |
j |
-1550640289/1327104 |
j-invariant |
L |
10.151492998949 |
L(r)(E,1)/r! |
Ω |
0.045454699357014 |
Real period |
R |
4.6527518650406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568ca1 3174f1 101568u1 |
Quadratic twists by: -4 8 -23 |