Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136cu |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
46448640 |
Modular degree for the optimal curve |
Δ |
-1.2300737056588E+27 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-155714568,-1845788411916] |
[a1,a2,a3,a4,a6] |
Generators |
[160554:14114793:8] |
Generators of the group modulo torsion |
j |
-2526208211683075375/7441985627099136 |
j-invariant |
L |
9.3340172487965 |
L(r)(E,1)/r! |
Ω |
0.019768411483451 |
Real period |
R |
4.9184197839124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12642c1 101136bl1 |
Quadratic twists by: -4 -7 |