Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60552d |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
159244800 |
Modular degree for the optimal curve |
Δ |
3.708941700005E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -2 -2 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198402929715,-34014981169580434] |
[a1,a2,a3,a4,a6] |
j |
1375088009512735250/59049 |
j-invariant |
L |
2.417849332002 |
L(r)(E,1)/r! |
Ω |
0.0071534003968157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104g1 20184l1 60552x1 |
Quadratic twists by: -4 -3 29 |