Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560db |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-30371328000 = -1 · 212 · 33 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,555,-6525] |
[a1,a2,a3,a4,a6] |
Generators |
[30:195:1] |
Generators of the group modulo torsion |
j |
2097152/3375 |
j-invariant |
L |
8.3593476327304 |
L(r)(E,1)/r! |
Ω |
0.61955713934785 |
Real period |
R |
0.74958090597909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2535d1 121680ek1 40560co1 |
Quadratic twists by: -4 -3 13 |