Atkin-Lehner |
2+ 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232b |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12032 |
Modular degree for the optimal curve |
Δ |
-11225088 = -1 · 211 · 33 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -5 -5 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,170] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [1:-12:1] |
Generators of the group modulo torsion |
j |
-39366/203 |
j-invariant |
L |
6.266706185394 |
L(r)(E,1)/r! |
Ω |
1.9672641682778 |
Real period |
R |
0.39818662170833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14616g1 116928cs1 29232a1 |
Quadratic twists by: -4 8 -3 |