Atkin-Lehner |
2- 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39468g |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-51345475944452976 = -1 · 24 · 3 · 11 · 134 · 237 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-954970,359044277] |
[a1,a2,a3,a4,a6] |
Generators |
[71317:19043733:1] |
Generators of the group modulo torsion |
j |
-6019679512833354247936/3209092246528311 |
j-invariant |
L |
7.8459336796906 |
L(r)(E,1)/r! |
Ω |
0.35109485201243 |
Real period |
R |
11.173524240982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118404l1 |
Quadratic twists by: -3 |