Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7410t |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-62229772800 = -1 · 29 · 39 · 52 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-806,14820] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:106:1] |
Generators of the group modulo torsion |
j |
-57911193276769/62229772800 |
j-invariant |
L |
6.6052969187913 |
L(r)(E,1)/r! |
Ω |
1.0054906828084 |
Real period |
R |
0.36495707638774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59280bd1 22230s1 37050f1 96330bl1 |
Quadratic twists by: -4 -3 5 13 |