Atkin-Lehner |
2+ 5- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
11110d |
Isogeny class |
Conductor |
11110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-28052750 = -1 · 2 · 53 · 11 · 1012 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 11+ -2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23,256] |
[a1,a2,a3,a4,a6] |
Generators |
[40:232:1] |
Generators of the group modulo torsion |
j |
-1263214441/28052750 |
j-invariant |
L |
4.2329190102796 |
L(r)(E,1)/r! |
Ω |
1.7658252539005 |
Real period |
R |
0.39952226312028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88880w1 99990u1 55550o1 122210p1 |
Quadratic twists by: -4 -3 5 -11 |