Atkin-Lehner |
2+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710b |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4103568 |
Modular degree for the optimal curve |
Δ |
-5.8946556790374E+23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 3 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10971305,39501473101] |
[a1,a2,a3,a4,a6] |
j |
-25334613306372990249/102252544000000000 |
j-invariant |
L |
0.48029046040744 |
L(r)(E,1)/r! |
Ω |
0.080048410068312 |
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 |
38710t1 |
Quadratic twists by: -7 |