Atkin-Lehner |
2- 3+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
72048q |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2052864 |
Modular degree for the optimal curve |
Δ |
-9.643738782675E+18 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 3 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-499600,-201817664] |
[a1,a2,a3,a4,a6] |
j |
-3366913217480816401/2354428413739008 |
j-invariant |
L |
0.34838026627992 |
L(r)(E,1)/r! |
Ω |
0.087095055860593 |
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 |
9006f1 |
Quadratic twists by: -4 |