Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80613j |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
62832 |
Modular degree for the optimal curve |
Δ |
-186493419333 = -1 · 36 · 136 · 53 |
Discriminant |
Eigenvalues |
-1 3- 0 4 0 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,475,-20510] |
[a1,a2,a3,a4,a6] |
Generators |
[23660:3627449:1] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
4.9694681258933 |
L(r)(E,1)/r! |
Ω |
0.49338387955703 |
Real period |
R |
10.072214209646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8957b1 477a1 |
Quadratic twists by: -3 13 |