Atkin-Lehner |
3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
116487j |
Isogeny class |
Conductor |
116487 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16467968 |
Modular degree for the optimal curve |
Δ |
2.6391072715764E+21 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -6 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107617694,-429674180452] |
[a1,a2,a3,a4,a6] |
Generators |
[44678040:-2324808011:3375] |
Generators of the group modulo torsion |
j |
376210684459/7203 |
j-invariant |
L |
5.1826327778425 |
L(r)(E,1)/r! |
Ω |
0.046873688915537 |
Real period |
R |
13.82074053944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38829i1 116487g1 |
Quadratic twists by: -3 -43 |