Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80613l |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
2424414451329 = 36 · 137 · 53 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21326,-1191004] |
[a1,a2,a3,a4,a6] |
Generators |
[208:1723:1] |
Generators of the group modulo torsion |
j |
304821217/689 |
j-invariant |
L |
2.2430547788968 |
L(r)(E,1)/r! |
Ω |
0.39512342538421 |
Real period |
R |
5.6768458548421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8957a1 6201d1 |
Quadratic twists by: -3 13 |