Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960bs |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
20919646440000 = 26 · 36 · 54 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8030,165528] |
[a1,a2,a3,a4,a6] |
Generators |
[121:-990:1] |
Generators of the group modulo torsion |
j |
894838079076544/326869475625 |
j-invariant |
L |
7.5675747622073 |
L(r)(E,1)/r! |
Ω |
0.62376820403825 |
Real period |
R |
0.50550126321068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960bl1 73920ed2 110880v1 |
Quadratic twists by: -4 8 -3 |