Atkin-Lehner |
2+ 5- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150k |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144640 |
Modular degree for the optimal curve |
Δ |
-72593750000 = -1 · 24 · 59 · 23 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 1 -6 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1826,32548] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:261:1] |
Generators of the group modulo torsion |
j |
-344472101/37168 |
j-invariant |
L |
4.1455081546212 |
L(r)(E,1)/r! |
Ω |
1.0640844012537 |
Real period |
R |
0.97396131089368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150be1 |
Quadratic twists by: 5 |