Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550z |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-214107411390468750 = -1 · 2 · 32 · 57 · 712 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,70724,21058448] |
[a1,a2,a3,a4,a6] |
Generators |
[112:5456:1] |
Generators of the group modulo torsion |
j |
2503876820718671/13702874328990 |
j-invariant |
L |
4.1950897007621 |
L(r)(E,1)/r! |
Ω |
0.22778195617264 |
Real period |
R |
0.76738038049834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400dw3 34650dp3 2310m4 80850i3 |
Quadratic twists by: -4 -3 5 -7 |