Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274bj |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
25904630819192832 = 218 · 310 · 74 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-849078,300970404] |
[a1,a2,a3,a4,a6] |
Generators |
[396:4986:1] |
Generators of the group modulo torsion |
j |
67696545704741420118625/25904630819192832 |
j-invariant |
L |
9.6474958348278 |
L(r)(E,1)/r! |
Ω |
0.36986643071625 |
Real period |
R |
0.28981921380962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822c1 |
Quadratic twists by: -3 |