Atkin-Lehner |
3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241y |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
6.7080647389193E+22 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20752310,34185164969] |
[a1,a2,a3,a4,a6] |
Generators |
[-1779:256768:1] |
Generators of the group modulo torsion |
j |
8401073434324562093257/570176094902575707 |
j-invariant |
L |
9.7259891605305 |
L(r)(E,1)/r! |
Ω |
0.10791533222757 |
Real period |
R |
1.5021018421749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463c3 |
Quadratic twists by: -7 |