Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470bd |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-43366400 = -1 · 211 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 11- 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2322,-42479] |
[a1,a2,a3,a4,a6] |
j |
-11437987859001/358400 |
j-invariant |
L |
7.5655495949013 |
L(r)(E,1)/r! |
Ω |
0.34388861795006 |
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 |
67760cq1 76230u1 42350bd1 59290dm1 |
Quadratic twists by: -4 -3 5 -7 |