Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850p |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6881280 |
Modular degree for the optimal curve |
Δ |
-1.100840825118E+20 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 2 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98842,-504918184] |
[a1,a2,a3,a4,a6] |
Generators |
[182562978:474628315736:27] |
Generators of the group modulo torsion |
j |
-58095499617/59884752788 |
j-invariant |
L |
10.81903407927 |
L(r)(E,1)/r! |
Ω |
0.084692795125733 |
Real period |
R |
15.968055607781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194q1 18550e1 |
Quadratic twists by: 5 -7 |