Atkin-Lehner |
2+ 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
60258o |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-3736056258 = -1 · 2 · 33 · 112 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14941,701666] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:1217:1] [-42:1141:1] |
Generators of the group modulo torsion |
j |
-3048144520188625/30876498 |
j-invariant |
L |
8.4821592618666 |
L(r)(E,1)/r! |
Ω |
1.2651153852503 |
Real period |
R |
0.74496140920831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60258y2 |
Quadratic twists by: -11 |