Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496c |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-51321317376 = -1 · 211 · 3 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1192,-18836] |
[a1,a2,a3,a4,a6] |
j |
-778034/213 |
j-invariant |
L |
0.4005208816978 |
L(r)(E,1)/r! |
Ω |
0.40052091930056 |
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 |
1704c1 |
Quadratic twists by: -7 |