Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cc |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-243880243200 = -1 · 212 · 39 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-821,-25155] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1065:1] |
Generators of the group modulo torsion |
j |
-123633664/492075 |
j-invariant |
L |
3.298912153179 |
L(r)(E,1)/r! |
Ω |
0.40698639489679 |
Real period |
R |
4.0528531107478 |
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 |
1815d1 116160iz1 87120fv1 29040bz1 |
Quadratic twists by: -4 8 -3 -11 |