Atkin-Lehner |
3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11025j |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
7056 |
Modular degree for the optimal curve |
Δ |
-97281016875 = -1 · 33 · 54 · 78 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,15006] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
1.6939879153687 |
L(r)(E,1)/r! |
Ω |
0.84699395768436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11025j2 11025a1 11025k1 |
Quadratic twists by: -3 5 -7 |