Atkin-Lehner |
2+ 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472f |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
2.3863360612463E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1675539,801026658] |
[a1,a2,a3,a4,a6] |
j |
25810480277912844/1183969064579 |
j-invariant |
L |
3.3732751305033 |
L(r)(E,1)/r! |
Ω |
0.21082969543593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736k1 59472h1 |
Quadratic twists by: -4 -3 |