Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
84700y |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
45653300000000 = 28 · 58 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ 1 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11000,302500] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-550:1] |
Generators of the group modulo torsion |
j |
1105920/343 |
j-invariant |
L |
4.6121745176165 |
L(r)(E,1)/r! |
Ω |
0.59129677669614 |
Real period |
R |
0.43333893803084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84700m1 84700bg1 |
Quadratic twists by: 5 -11 |