Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73206j |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-371824897941504 = -1 · 213 · 313 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 1 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-186048,-30855168] |
[a1,a2,a3,a4,a6] |
Generators |
[232125721:4959900294:300763] |
Generators of the group modulo torsion |
j |
-2848251888987751/1487020032 |
j-invariant |
L |
6.6039260001789 |
L(r)(E,1)/r! |
Ω |
0.11493428499226 |
Real period |
R |
14.364569286881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24402bf1 73206x1 |
Quadratic twists by: -3 -7 |