Atkin-Lehner |
2+ 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488t |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
5734400 |
Modular degree for the optimal curve |
Δ |
-1.5162165236857E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1151214,-1812106879] |
[a1,a2,a3,a4,a6] |
j |
14465864356839237632/129991128573879027 |
j-invariant |
L |
2.3883544180954 |
L(r)(E,1)/r! |
Ω |
0.074636080431086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41496v1 |
Quadratic twists by: -3 |