Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bv |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
8566272 |
Modular degree for the optimal curve |
Δ |
-9.0222442343796E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 3 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1528380,-1248314976] |
[a1,a2,a3,a4,a6] |
Generators |
[1746:-82134:1] |
Generators of the group modulo torsion |
j |
1890735080624/4320438183 |
j-invariant |
L |
6.3211749914311 |
L(r)(E,1)/r! |
Ω |
0.081621505011168 |
Real period |
R |
0.5867043227266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998979947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624r1 |
Quadratic twists by: 13 |