Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040cb |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25097195520 = -1 · 212 · 36 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,-7776] |
[a1,a2,a3,a4,a6] |
Generators |
[30:108:1] |
Generators of the group modulo torsion |
j |
-592704/8405 |
j-invariant |
L |
6.0423385188696 |
L(r)(E,1)/r! |
Ω |
0.51090958308731 |
Real period |
R |
1.4783287295168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040bd2 118080bs1 6560a2 |
Quadratic twists by: -4 8 -3 |