Atkin-Lehner |
3+ 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045g |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-51097921875 = -1 · 33 · 56 · 7 · 113 · 13 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3657,-85813] |
[a1,a2,a3,a4,a6] |
j |
-200324851273728/1892515625 |
j-invariant |
L |
3.6815003926382 |
L(r)(E,1)/r! |
Ω |
0.30679169939389 |
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 |
45045c1 |
Quadratic twists by: -3 |