Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550bd |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
16978500000000 = 28 · 32 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11826,452548] |
[a1,a2,a3,a4,a6] |
j |
93638512421/8692992 |
j-invariant |
L |
1.3503069675673 |
L(r)(E,1)/r! |
Ω |
0.67515348378363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400fl1 34650dw1 11550cc1 80850bn1 |
Quadratic twists by: -4 -3 5 -7 |