Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488bq |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.7026369884276E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 4 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2345619,-6428437486] |
[a1,a2,a3,a4,a6] |
j |
-477978815192585617/5702096824455969 |
j-invariant |
L |
1.2611232967373 |
L(r)(E,1)/r! |
Ω |
0.052546804015169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3843d1 20496p1 |
Quadratic twists by: -4 -3 |