Atkin-Lehner |
3- 5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025br |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
408960 |
Modular degree for the optimal curve |
Δ |
-1371116373046875 = -1 · 33 · 59 · 76 · 13 · 17 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-76083,8246369] |
[a1,a2,a3,a4,a6] |
Generators |
[483:9187:1] |
Generators of the group modulo torsion |
j |
-24938037149696/702011583 |
j-invariant |
L |
7.6023103447286 |
L(r)(E,1)/r! |
Ω |
0.4795182348057 |
Real period |
R |
0.44039052691432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999650748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116025r1 |
Quadratic twists by: 5 |