Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29406t |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-265706336289888 = -1 · 25 · 33 · 139 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14277,430065] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:513:1] |
Generators of the group modulo torsion |
j |
66676466375/55048032 |
j-invariant |
L |
11.175935347003 |
L(r)(E,1)/r! |
Ω |
0.35656714796718 |
Real period |
R |
1.0447714556914 |
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 |
88218y1 2262g1 |
Quadratic twists by: -3 13 |