Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840r |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-13511976042240 = -1 · 28 · 37 · 5 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5577,74698] |
[a1,a2,a3,a4,a6] |
j |
21296/15 |
j-invariant |
L |
1.7912942018084 |
L(r)(E,1)/r! |
Ω |
0.44782354961063 |
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 |
121680y1 20280bf1 360d1 |
Quadratic twists by: -4 -3 13 |