Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976m |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-179709207552 = -1 · 210 · 36 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -5 7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819,22302] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1828:1] |
Generators of the group modulo torsion |
j |
-1660932/4913 |
j-invariant |
L |
7.253647403184 |
L(r)(E,1)/r! |
Ω |
0.89159767044566 |
Real period |
R |
4.0677805939989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952y1 6664f1 59976i1 |
Quadratic twists by: -4 -3 -7 |