Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60760c |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
104635525120 = 211 · 5 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1416,-13840] |
[a1,a2,a3,a4,a6] |
j |
447297086/148955 |
j-invariant |
L |
1.5981098436904 |
L(r)(E,1)/r! |
Ω |
0.7990549223885 |
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 |
121520i1 60760m1 |
Quadratic twists by: -4 -7 |