Atkin-Lehner |
2+ 3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
60258k |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
5115659456720867472 = 24 · 39 · 119 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-693091,193547726] |
[a1,a2,a3,a4,a6] |
Generators |
[-716:18326:1] |
Generators of the group modulo torsion |
j |
15615626874875/2169538992 |
j-invariant |
L |
5.7249592301689 |
L(r)(E,1)/r! |
Ω |
0.23301816256062 |
Real period |
R |
1.364929184339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60258x1 |
Quadratic twists by: -11 |