Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29280b |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-2846016000 = -1 · 29 · 36 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 5 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216,2916] |
[a1,a2,a3,a4,a6] |
Generators |
[0:54:1] |
Generators of the group modulo torsion |
j |
-2186875592/5558625 |
j-invariant |
L |
3.8438268410491 |
L(r)(E,1)/r! |
Ω |
1.2651616785211 |
Real period |
R |
0.75955249560322 |
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 |
29280u1 58560bu1 87840bn1 |
Quadratic twists by: -4 8 -3 |