Atkin-Lehner |
2- 3- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354by |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-75397172004 = -1 · 22 · 36 · 74 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ -2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401,-13467] |
[a1,a2,a3,a4,a6] |
j |
-9759185353/103425476 |
j-invariant |
L |
7.4043723125979 |
L(r)(E,1)/r! |
Ω |
0.46277329236436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13706g1 |
Quadratic twists by: -3 |