Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405i |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36384768 |
Modular degree for the optimal curve |
Δ |
1.0378102862496E+25 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 5 -4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1161915638,15243891034592] |
[a1,a2,a3,a4,a6] |
Generators |
[8158722:3842466032:1331] |
Generators of the group modulo torsion |
j |
9993948576518041/597871125 |
j-invariant |
L |
3.501812086569 |
L(r)(E,1)/r! |
Ω |
0.068449065855774 |
Real period |
R |
8.5265640931007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33135k1 99405s1 |
Quadratic twists by: -3 -47 |