Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550kd |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3951360 |
Modular degree for the optimal curve |
Δ |
-531941247474000000 = -1 · 27 · 3 · 56 · 79 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3795688,2846220992] |
[a1,a2,a3,a4,a6] |
Generators |
[886:12934:1] |
Generators of the group modulo torsion |
j |
-9591639636223/843648 |
j-invariant |
L |
14.526925735615 |
L(r)(E,1)/r! |
Ω |
0.27967539188093 |
Real period |
R |
1.2367165436052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822c1 95550gy1 |
Quadratic twists by: 5 -7 |