Atkin-Lehner |
5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
67915j |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
730728 |
Modular degree for the optimal curve |
Δ |
-3621220323984715 = -1 · 5 · 178 · 473 |
Discriminant |
Eigenvalues |
-2 2 5+ -2 2 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-283316,-58021484] |
[a1,a2,a3,a4,a6] |
Generators |
[696760:581599972:1] |
Generators of the group modulo torsion |
j |
-360534790144/519115 |
j-invariant |
L |
3.3793130415297 |
L(r)(E,1)/r! |
Ω |
0.1034580220075 |
Real period |
R |
10.887871799932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67915s1 |
Quadratic twists by: 17 |