Atkin-Lehner |
3- 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
65331g |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-80585287615650699 = -1 · 36 · 73 · 175 · 613 |
Discriminant |
Eigenvalues |
1 3- -1 7+ 3 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,98175,-6833116] |
[a1,a2,a3,a4,a6] |
Generators |
[1111936:24944838:4913] |
Generators of the group modulo torsion |
j |
143547761786690799/110542232668931 |
j-invariant |
L |
5.1775478451705 |
L(r)(E,1)/r! |
Ω |
0.1910228776281 |
Real period |
R |
9.0347779452865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7259b1 |
Quadratic twists by: -3 |