Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976i |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-21142608559285248 = -1 · 210 · 36 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -5 -7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40131,-7649586] |
[a1,a2,a3,a4,a6] |
Generators |
[415:6868:1] |
Generators of the group modulo torsion |
j |
-1660932/4913 |
j-invariant |
L |
3.1803716149024 |
L(r)(E,1)/r! |
Ω |
0.15599405156254 |
Real period |
R |
3.3979624896214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952q1 6664a1 59976m1 |
Quadratic twists by: -4 -3 -7 |