Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650eb |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-113164128000000000 = -1 · 214 · 38 · 59 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-333680,-75851053] |
[a1,a2,a3,a4,a6] |
j |
-2885728410053/79478784 |
j-invariant |
L |
2.7764487486906 |
L(r)(E,1)/r! |
Ω |
0.099158883881855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bf1 34650cd1 |
Quadratic twists by: -3 5 |