Atkin-Lehner |
2+ 3+ 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32214c |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-93596478904656 = -1 · 24 · 33 · 710 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -3 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30284,-2093856] |
[a1,a2,a3,a4,a6] |
Generators |
[5844:30692:27] |
Generators of the group modulo torsion |
j |
-3071749751780584393/93596478904656 |
j-invariant |
L |
1.7347909884408 |
L(r)(E,1)/r! |
Ω |
0.18062808915766 |
Real period |
R |
2.401053729421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642bs1 |
Quadratic twists by: -3 |