Atkin-Lehner |
2+ 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258m |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
301852225458432 = 28 · 36 · 117 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19726,660416] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:941:1] |
Generators of the group modulo torsion |
j |
479129640625/170387712 |
j-invariant |
L |
6.5677191258141 |
L(r)(E,1)/r! |
Ω |
0.50039499372202 |
Real period |
R |
2.1875116018434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478p1 |
Quadratic twists by: -11 |