Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456j |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
959040 |
Modular degree for the optimal curve |
Δ |
1.453006966797E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -1 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1379513,-229780629] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:4374:1] |
Generators of the group modulo torsion |
j |
472355845220224000/236393522034597 |
j-invariant |
L |
7.5792030223465 |
L(r)(E,1)/r! |
Ω |
0.14675128249658 |
Real period |
R |
0.47820914794454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72912a1 109368bl1 36456a1 |
Quadratic twists by: -4 -3 -7 |