Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
60840bn |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
5765806800 = 24 · 38 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-858,8957] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:117:1] [-14:135:1] |
Generators of the group modulo torsion |
j |
2725888/225 |
j-invariant |
L |
9.171566123232 |
L(r)(E,1)/r! |
Ω |
1.3177756670841 |
Real period |
R |
0.8699855324711 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680bb1 20280i1 60840bb1 |
Quadratic twists by: -4 -3 13 |