Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510z |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-37737093240 = -1 · 23 · 36 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,10156] |
[a1,a2,a3,a4,a6] |
j |
-117649/440 |
j-invariant |
L |
1.0086559043477 |
L(r)(E,1)/r! |
Ω |
1.0086559045469 |
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 |
5390be1 990f1 |
Quadratic twists by: -3 -7 |