Atkin-Lehner |
2- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
53950y |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
7449600 |
Modular degree for the optimal curve |
Δ |
-4.333161589952E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 -3 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4960612,-9067130608] |
[a1,a2,a3,a4,a6] |
j |
1382386365983984375/4437157468110848 |
j-invariant |
L |
7.4606573123403 |
L(r)(E,1)/r! |
Ω |
0.058286385261768 |
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 |
53950m1 |
Quadratic twists by: 5 |