Atkin-Lehner |
3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475b |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-958658203125 = -1 · 33 · 59 · 73 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 3 3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26438255,-52316950628] |
[a1,a2,a3,a4,a6] |
Generators |
[640141222:14005325165:103823] |
Generators of the group modulo torsion |
j |
-4844380728835462318587/2272375 |
j-invariant |
L |
3.7294035243319 |
L(r)(E,1)/r! |
Ω |
0.033289813608543 |
Real period |
R |
14.003546115419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83475e1 16695d1 |
Quadratic twists by: -3 5 |