Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700x |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-1.50378514656E+21 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11- 6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9415615,-11275846010] |
[a1,a2,a3,a4,a6] |
j |
-8142048846461520/132632423693 |
j-invariant |
L |
1.8081585644098 |
L(r)(E,1)/r! |
Ω |
0.043051394339356 |
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 |
84700be1 7700c1 |
Quadratic twists by: 5 -11 |