Atkin-Lehner |
2- 3- 7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
116298bi |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4663296 |
Modular degree for the optimal curve |
Δ |
-4.6115770288069E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9092129,10559614025] |
[a1,a2,a3,a4,a6] |
Generators |
[1785:3004:1] |
Generators of the group modulo torsion |
j |
-114023116161227068043977/63258944153729688 |
j-invariant |
L |
11.669887167676 |
L(r)(E,1)/r! |
Ω |
0.19932177800887 |
Real period |
R |
4.8789981910824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38766r1 |
Quadratic twists by: -3 |