Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550r |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41184 |
Modular degree for the optimal curve |
Δ |
-750217545000 = -1 · 23 · 311 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51425,-4510275] |
[a1,a2,a3,a4,a6] |
j |
-24064663400038825/1200348072 |
j-invariant |
L |
0.95109705071012 |
L(r)(E,1)/r! |
Ω |
0.15851617511835 |
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 |
92400ht1 34650eg1 11550ch1 80850de1 |
Quadratic twists by: -4 -3 5 -7 |