Atkin-Lehner |
5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
42025a |
Isogeny class |
Conductor |
42025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
76075888234765625 = 58 · 417 |
Discriminant |
Eigenvalues |
1 0 5+ -4 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-911417,334871616] |
[a1,a2,a3,a4,a6] |
Generators |
[-912:20628:1] |
Generators of the group modulo torsion |
j |
1128111921/1025 |
j-invariant |
L |
3.6705908322617 |
L(r)(E,1)/r! |
Ω |
0.3421075421636 |
Real period |
R |
2.6823369700113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8405c1 1025b1 |
Quadratic twists by: 5 41 |