Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976y |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-10077862281984 = -1 · 28 · 39 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -3 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5292,37044] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1323:1] |
Generators of the group modulo torsion |
j |
27648/17 |
j-invariant |
L |
5.1173964181114 |
L(r)(E,1)/r! |
Ω |
0.44696306000638 |
Real period |
R |
1.4311575373488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952d1 59976c1 1224f1 |
Quadratic twists by: -4 -3 -7 |