Atkin-Lehner |
3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
78141i |
Isogeny class |
Conductor |
78141 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
24105600 |
Modular degree for the optimal curve |
Δ |
-2.9377416303864E+26 |
Discriminant |
Eigenvalues |
1 3- 3 7- -4 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60611447,-844410820057] |
[a1,a2,a3,a4,a6] |
Generators |
[875169312:133022460359:32768] |
Generators of the group modulo torsion |
j |
-477978815192585617/5702096824455969 |
j-invariant |
L |
10.969362822777 |
L(r)(E,1)/r! |
Ω |
0.023306229149216 |
Real period |
R |
4.3579840220929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1281c1 |
Quadratic twists by: 61 |