Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616ck |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-182267624416534272 = -1 · 28 · 310 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12201,20534038] |
[a1,a2,a3,a4,a6] |
j |
9148592/8301447 |
j-invariant |
L |
1.999614938147 |
L(r)(E,1)/r! |
Ω |
0.24995187289551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808v1 25872q1 11088y1 |
Quadratic twists by: -4 -3 -7 |