Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626w |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
12941858522181888 = 28 · 36 · 132 · 177 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-141809,19847585] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:3954:1] |
Generators of the group modulo torsion |
j |
17923019113/735488 |
j-invariant |
L |
10.858134564253 |
L(r)(E,1)/r! |
Ω |
0.39528357759384 |
Real period |
R |
1.7168267256945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514a1 3978h1 |
Quadratic twists by: -3 17 |