Atkin-Lehner |
2+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
43424c |
Isogeny class |
Conductor |
43424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-15980032 = -1 · 29 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 0 2 -1 -3 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61,58] |
[a1,a2,a3,a4,a6] |
Generators |
[18:115:8] |
Generators of the group modulo torsion |
j |
49027896/31211 |
j-invariant |
L |
5.6595259170137 |
L(r)(E,1)/r! |
Ω |
1.3715795496853 |
Real period |
R |
2.063141696122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43424a1 86848v1 |
Quadratic twists by: -4 8 |