Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206b |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-196814722212864 = -1 · 210 · 39 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 1 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3390,680084] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-806:1] |
Generators of the group modulo torsion |
j |
-1860867/84992 |
j-invariant |
L |
4.7625133535611 |
L(r)(E,1)/r! |
Ω |
0.46932743606695 |
Real period |
R |
1.2684410146916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73206bb1 1494a1 |
Quadratic twists by: -3 -7 |