Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
11160i |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-361584000000 = -1 · 210 · 36 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2907,-66906] |
[a1,a2,a3,a4,a6] |
j |
-3639412836/484375 |
j-invariant |
L |
1.9362054823642 |
L(r)(E,1)/r! |
Ω |
0.32270091372737 |
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 |
22320o1 89280bn1 1240e1 55800by1 |
Quadratic twists by: -4 8 -3 5 |