Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840g |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-197612649617760000 = -1 · 28 · 39 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,127257,-12333958] |
[a1,a2,a3,a4,a6] |
j |
253012016/219375 |
j-invariant |
L |
2.8013306043186 |
L(r)(E,1)/r! |
Ω |
0.17508316261132 |
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 |
121680n1 20280s1 4680t1 |
Quadratic twists by: -4 -3 13 |