Atkin-Lehner |
2- 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8514h |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-166891428 = -1 · 22 · 36 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,130,209] |
[a1,a2,a3,a4,a6] |
j |
335702375/228932 |
j-invariant |
L |
2.2853241132984 |
L(r)(E,1)/r! |
Ω |
1.1426620566492 |
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 |
68112bz1 946b1 93654k1 |
Quadratic twists by: -4 -3 -11 |