Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11322s |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1878183936 = -1 · 212 · 36 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -5 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-389,3709] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:80:1] [-11:86:1] |
Generators of the group modulo torsion |
j |
-8908363017/2576384 |
j-invariant |
L |
7.1255734585261 |
L(r)(E,1)/r! |
Ω |
1.404865535672 |
Real period |
R |
0.10566808230627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576bo1 1258d1 |
Quadratic twists by: -4 -3 |