Atkin-Lehner |
3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65403m |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-2283661182145239 = -1 · 39 · 137 · 432 |
Discriminant |
Eigenvalues |
-1 3- 2 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10679,2340758] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2796:1] |
Generators of the group modulo torsion |
j |
-38272753/648999 |
j-invariant |
L |
4.4165747168898 |
L(r)(E,1)/r! |
Ω |
0.38893175817403 |
Real period |
R |
5.6778273102909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21801h1 5031d1 |
Quadratic twists by: -3 13 |