Atkin-Lehner |
2- 5- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
122960o |
Isogeny class |
Conductor |
122960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
2288239490000 = 24 · 54 · 29 · 534 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5105,121772] |
[a1,a2,a3,a4,a6] |
Generators |
[44668:354060:2197] |
Generators of the group modulo torsion |
j |
919763219070976/143014968125 |
j-invariant |
L |
12.558047820094 |
L(r)(E,1)/r! |
Ω |
0.78475759732553 |
Real period |
R |
8.0012272787381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30740b1 |
Quadratic twists by: -4 |