Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976k |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-1959952734462530304 = -1 · 28 · 313 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41948508,104573822164] |
[a1,a2,a3,a4,a6] |
Generators |
[3962:23814:1] |
Generators of the group modulo torsion |
j |
-371806976516936704/89266779 |
j-invariant |
L |
5.6736118461931 |
L(r)(E,1)/r! |
Ω |
0.20912911783394 |
Real period |
R |
0.84780336677624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952v1 19992z1 8568f1 |
Quadratic twists by: -4 -3 -7 |