Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850ca |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
27375886988800 = 29 · 52 · 79 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28813,1853571] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1372:1] |
Generators of the group modulo torsion |
j |
899418555625/9307648 |
j-invariant |
L |
6.0791663763634 |
L(r)(E,1)/r! |
Ω |
0.6694097924571 |
Real period |
R |
0.25226062504005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850bc1 18550o1 |
Quadratic twists by: 5 -7 |