Atkin-Lehner |
3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475bj |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-1584720703125 = -1 · 37 · 59 · 7 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -1 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41742,3293541] |
[a1,a2,a3,a4,a6] |
j |
-5649262541/1113 |
j-invariant |
L |
3.2830802752916 |
L(r)(E,1)/r! |
Ω |
0.82077006673059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27825t1 83475bn1 |
Quadratic twists by: -3 5 |