Atkin-Lehner |
3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
80613p |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
409726042274601 = 36 · 139 · 53 |
Discriminant |
Eigenvalues |
-1 3- 2 2 -6 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28424,1573498] |
[a1,a2,a3,a4,a6] |
Generators |
[5952:63058:27] |
Generators of the group modulo torsion |
j |
328509/53 |
j-invariant |
L |
3.9120568308906 |
L(r)(E,1)/r! |
Ω |
0.50860160743103 |
Real period |
R |
7.6917901355556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8957c1 80613o1 |
Quadratic twists by: -3 13 |