Atkin-Lehner |
2- 3- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390by |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
Δ |
5.66322471936E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12480842,16970511241] |
[a1,a2,a3,a4,a6] |
Generators |
[1921:8039:1] |
Generators of the group modulo torsion |
j |
294936014395757499662169/77684838400000000 |
j-invariant |
L |
10.273352107193 |
L(r)(E,1)/r! |
Ω |
0.19366956824441 |
Real period |
R |
0.36837342909779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8710b2 |
Quadratic twists by: -3 |