Atkin-Lehner |
2+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
11680a |
Isogeny class |
Conductor |
11680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77568 |
Modular degree for the optimal curve |
Δ |
73000000 = 26 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1520833,721888968] |
[a1,a2,a3,a4,a6] |
j |
6078386628250875999936/1140625 |
j-invariant |
L |
0.78352180766108 |
L(r)(E,1)/r! |
Ω |
0.78352180766108 |
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 |
11680b1 23360ba2 105120bb1 58400j1 |
Quadratic twists by: -4 8 -3 5 |