Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232a |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
-8183089152 = -1 · 211 · 39 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 5 -5 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,-4590] |
[a1,a2,a3,a4,a6] |
Generators |
[210:675:8] |
Generators of the group modulo torsion |
j |
-39366/203 |
j-invariant |
L |
7.3808834349243 |
L(r)(E,1)/r! |
Ω |
0.54499697311017 |
Real period |
R |
3.3857451504745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14616b1 116928cw1 29232b1 |
Quadratic twists by: -4 8 -3 |