Atkin-Lehner |
11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79937a |
Isogeny class |
Conductor |
79937 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3204864 |
Modular degree for the optimal curve |
Δ |
-949561123944202627 = -1 · 114 · 138 · 433 |
Discriminant |
Eigenvalues |
0 2 2 4 11+ 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6932267,-7023084092] |
[a1,a2,a3,a4,a6] |
j |
-45165081751748608/1164061987 |
j-invariant |
L |
2.5121398775543 |
L(r)(E,1)/r! |
Ω |
0.04652110928653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79937f1 |
Quadratic twists by: 13 |