Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232s |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-151044784128 = -1 · 215 · 33 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4275,-109198] |
[a1,a2,a3,a4,a6] |
Generators |
[89:464:1] |
Generators of the group modulo torsion |
j |
-78128296875/1365784 |
j-invariant |
L |
4.8989069188844 |
L(r)(E,1)/r! |
Ω |
0.29490692163308 |
Real period |
R |
0.69215439396892 |
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 |
3654d1 116928cp1 29232q2 |
Quadratic twists by: -4 8 -3 |