Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960br |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
5774765451840 = 26 · 314 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4830,56088] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:432:1] |
Generators of the group modulo torsion |
j |
194748913457344/90230710185 |
j-invariant |
L |
7.6426297836511 |
L(r)(E,1)/r! |
Ω |
0.67883527200589 |
Real period |
R |
1.6083493298469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bk1 73920dw1 110880u1 |
Quadratic twists by: -4 8 -3 |