Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232bb |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-57094928400384 = -1 · 216 · 36 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2091,365402] |
[a1,a2,a3,a4,a6] |
Generators |
[23:574:1] |
Generators of the group modulo torsion |
j |
-338608873/19120976 |
j-invariant |
L |
6.3494597999272 |
L(r)(E,1)/r! |
Ω |
0.51879853771375 |
Real period |
R |
3.0596943410385 |
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 |
3654u1 116928dx1 3248k1 |
Quadratic twists by: -4 8 -3 |