Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258bc |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
255 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
-38704818290688 = -1 · 217 · 35 · 114 · 83 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11- -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1510,298596] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:226:1] [-44:406:1] |
Generators of the group modulo torsion |
j |
26005537679/2643591168 |
j-invariant |
L |
12.527766945165 |
L(r)(E,1)/r! |
Ω |
0.49654956408738 |
Real period |
R |
0.098939766293969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60258q1 |
Quadratic twists by: -11 |