Atkin-Lehner |
2+ 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65142h |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
1139724432 = 24 · 39 · 7 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18333,-950859] |
[a1,a2,a3,a4,a6] |
Generators |
[178:1095:1] |
Generators of the group modulo torsion |
j |
934781533236433/1563408 |
j-invariant |
L |
3.9812253796308 |
L(r)(E,1)/r! |
Ω |
0.41028921699946 |
Real period |
R |
4.8517304553127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21714q1 |
Quadratic twists by: -3 |