Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550be |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
45600 |
Modular degree for the optimal curve |
Δ |
-4766360156250 = -1 · 2 · 3 · 58 · 75 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32201,-2229202] |
[a1,a2,a3,a4,a6] |
j |
-9452623635625/12201882 |
j-invariant |
L |
1.0691077464377 |
L(r)(E,1)/r! |
Ω |
0.17818462440628 |
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 |
92400fm1 34650dy1 11550bv1 80850bo1 |
Quadratic twists by: -4 -3 5 -7 |