Atkin-Lehner |
3- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58719f |
Isogeny class |
Conductor |
58719 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2172672 |
Modular degree for the optimal curve |
Δ |
-4.1343699617733E+19 |
Discriminant |
Eigenvalues |
1 3- 3 0 -4 -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4623207,3838260127] |
[a1,a2,a3,a4,a6] |
j |
-263800268953/998001 |
j-invariant |
L |
2.4549982371313 |
L(r)(E,1)/r! |
Ω |
0.20458318614759 |
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 |
58719d1 |
Quadratic twists by: -23 |