Atkin-Lehner |
3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9075h |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-2652691152375 = -1 · 32 · 53 · 119 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-970,-79625] |
[a1,a2,a3,a4,a6] |
j |
-343/9 |
j-invariant |
L |
2.8085304820468 |
L(r)(E,1)/r! |
Ω |
0.35106631025585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27225bx1 9075s1 9075i1 |
Quadratic twists by: -3 5 -11 |