Atkin-Lehner |
7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077c |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
1236972027839228681 = 79 · 119 · 13 |
Discriminant |
Eigenvalues |
-1 -2 2 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-275822,15641275] |
[a1,a2,a3,a4,a6] |
j |
24389/13 |
j-invariant |
L |
0.23886972266055 |
L(r)(E,1)/r! |
Ω |
0.23886979535196 |
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 |
77077f1 77077e1 |
Quadratic twists by: -7 -11 |