Atkin-Lehner |
2+ 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950z |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
160249789118250000 = 24 · 314 · 56 · 133 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-142701,7705048] |
[a1,a2,a3,a4,a6] |
Generators |
[-382:2742:1] [-328:4551:1] |
Generators of the group modulo torsion |
j |
20567445764946625/10255986503568 |
j-invariant |
L |
10.447906302048 |
L(r)(E,1)/r! |
Ω |
0.28656016261475 |
Real period |
R |
0.86808882138442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758f1 |
Quadratic twists by: 5 |