Atkin-Lehner |
7+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
7777a |
Isogeny class |
Conductor |
7777 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
299324076821 = 74 · 112 · 1013 |
Discriminant |
Eigenvalues |
0 0 -1 7+ 11+ -1 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2588,43302] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:269:1] [18:50:1] |
Generators of the group modulo torsion |
j |
1916975348711424/299324076821 |
j-invariant |
L |
4.4199504103678 |
L(r)(E,1)/r! |
Ω |
0.9295665193814 |
Real period |
R |
0.39623759374337 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124432r1 69993f1 54439a1 85547e1 |
Quadratic twists by: -4 -3 -7 -11 |