Atkin-Lehner |
2- 3+ 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
73968g |
Isogeny class |
Conductor |
73968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-635380281901056 = -1 · 237 · 3 · 23 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 -3 1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6072,-1224336] |
[a1,a2,a3,a4,a6] |
Generators |
[1514:58802:1] |
Generators of the group modulo torsion |
j |
-6045477024313/155122139136 |
j-invariant |
L |
2.9676349036033 |
L(r)(E,1)/r! |
Ω |
0.22229179114152 |
Real period |
R |
6.6750888314306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9246d1 |
Quadratic twists by: -4 |