Atkin-Lehner |
7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38857c |
Isogeny class |
Conductor |
38857 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
75849836645537227 = 711 · 132 · 613 |
Discriminant |
Eigenvalues |
1 -3 0 7- 3 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-113542,-6396251] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:2463:1] |
Generators of the group modulo torsion |
j |
1375964544515625/644712973723 |
j-invariant |
L |
3.188799481545 |
L(r)(E,1)/r! |
Ω |
0.27217489734161 |
Real period |
R |
1.4644992579634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5551a1 |
Quadratic twists by: -7 |