Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150co |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
251172211500000 = 25 · 36 · 56 · 75 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39380,-2899753] |
[a1,a2,a3,a4,a6] |
Generators |
[-2805:8111:27] |
Generators of the group modulo torsion |
j |
592915705201/22050784 |
j-invariant |
L |
10.24110504064 |
L(r)(E,1)/r! |
Ω |
0.33968333508348 |
Real period |
R |
6.0297954211741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999491879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350d1 5166p1 |
Quadratic twists by: -3 5 |