Atkin-Lehner |
3- 5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14835h |
Isogeny class |
Conductor |
14835 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-1281262094296875 = -1 · 36 · 57 · 233 · 432 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 -6 -4 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-189990,31857806] |
[a1,a2,a3,a4,a6] |
Generators |
[20129715:-793090021:12167] [-180:7762:1] |
Generators of the group modulo torsion |
j |
-758434755125598662656/1281262094296875 |
j-invariant |
L |
4.2692240131697 |
L(r)(E,1)/r! |
Ω |
0.48372324374034 |
Real period |
R |
0.035022846949895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44505e1 74175f1 |
Quadratic twists by: -3 5 |