Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320bi |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
278528 |
Modular degree for the optimal curve |
Δ |
-1173229818750000 = -1 · 24 · 310 · 58 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7338,1665637] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1377:1] |
Generators of the group modulo torsion |
j |
-3746358409216/100585546875 |
j-invariant |
L |
4.376298047849 |
L(r)(E,1)/r! |
Ω |
0.40777252666295 |
Real period |
R |
1.341525532501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440j1 |
Quadratic twists by: -3 |