Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232bq |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-178209497088 = -1 · 213 · 37 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -5 3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6051,182306] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-126:1] [-71:504:1] |
Generators of the group modulo torsion |
j |
-8205738913/59682 |
j-invariant |
L |
7.5929921074426 |
L(r)(E,1)/r! |
Ω |
1.0193067298375 |
Real period |
R |
0.15519110287532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3654h1 116928et1 9744m1 |
Quadratic twists by: -4 8 -3 |