Atkin-Lehner |
2- 3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cb |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.6644694799997E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14760,-62072038800] |
[a1,a2,a3,a4,a6] |
Generators |
[74660:20398400:1] |
Generators of the group modulo torsion |
j |
-86826493040041/406364619140547159600 |
j-invariant |
L |
5.2517790811433 |
L(r)(E,1)/r! |
Ω |
0.038592874277333 |
Real period |
R |
5.6700655892216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999999121 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9690n4 |
Quadratic twists by: -4 |