Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510eh |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
3932160 |
Modular degree for the optimal curve |
Δ |
-4.3509366569409E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5331332,-5701380569] |
[a1,a2,a3,a4,a6] |
j |
-195395722614328041/50730248800000 |
j-invariant |
L |
3.9208804525814 |
L(r)(E,1)/r! |
Ω |
0.049011005663042 |
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 |
5390c1 6930y1 |
Quadratic twists by: -3 -7 |